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4314345552 = 2433117312437
BaseRepresentation
bin1000000010010011…
…11011000001010000
3102010200012110111000
410001021323001100
532313433024202
61552035222000
7211625221626
oct40111730120
912120173430
104314345552
111914376740
12a04a47900
13539aa2cba
142ccdbd516
151a3b6991c
hex10127b050

4314345552 has 160 divisors (see below), whose sum is σ = 13695730560. Its totient is φ = 1289364480.

The previous prime is 4314345509. The next prime is 4314345557. The reversal of 4314345552 is 2555434134.

It is a super-2 number, since 2×43143455522 = 37227155084124369408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314345557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340678 + ... + 353114.

It is an arithmetic number, because the mean of its divisors is an integer number (85598316).

Almost surely, 24314345552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314345552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847865280).

4314345552 is an abundant number, since it is smaller than the sum of its proper divisors (9381385008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4314345552 is a wasteful number, since it uses less digits than its factorization.

4314345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12538 (or 12526 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 4314345552 is about 65683.6779725374. The cubic root of 4314345552 is about 1627.9396794615.

Adding to 4314345552 its reverse (2555434134), we get a palindrome (6869779686).

It can be divided in two parts, 4314 and 345552, that added together give a triangular number (349866 = T836).

The spelling of 4314345552 in words is "four billion, three hundred fourteen million, three hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 176 198 216 219 264 292 297 396 432 438 528 584 594 657 792 803 876 1168 1188 1314 1584 1606 1752 1971 2376 2409 2628 3212 3504 3942 4752 4818 5256 6424 7227 7884 9636 10512 12437 12848 14454 15768 19272 21681 24874 28908 31536 37311 38544 43362 49748 57816 74622 86724 99496 111933 115632 136807 149244 173448 198992 223866 273614 298488 335799 346896 410421 447732 547228 596976 671598 820842 895464 907901 1094456 1231263 1343196 1641684 1790928 1815802 2188912 2462526 2686392 2723703 3283368 3631604 3693789 4925052 5372784 5447406 6566736 7263208 7387578 8171109 9850104 9986911 10894812 14526416 14775156 16342218 19700208 19973822 21789624 24513327 29550312 29960733 32684436 39947644 43579248 49026654 59100624 59921466 65368872 79895288 89882199 98053308 119842932 130737744 159790576 179764398 196106616 239685864 269646597 359528796 392213232 479371728 539293194 719057592 1078586388 1438115184 2157172776 4314345552