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434534364 = 2232113747631
BaseRepresentation
bin11001111001100…
…111011111011100
31010021122122002100
4121321213133130
51342220044424
6111041325100
713524324015
oct3171473734
91107578070
10434534364
11203313110
12101636790
136c043434
14419d400c
1528235dc9
hex19e677dc

434534364 has 144 divisors (see below), whose sum is σ = 1258822656. Its totient is φ = 125193600.

The previous prime is 434534363. The next prime is 434534431. The reversal of 434534364 is 463435434.

It is a super-2 number, since 2×4345343642 = 377640226993768992, 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 (434534363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688329 + ... + 688959.

It is an arithmetic number, because the mean of its divisors is an integer number (8741824).

Almost surely, 2434534364 is an apocalyptic number.

434534364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434534364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629411328).

434534364 is an abundant number, since it is smaller than the sum of its proper divisors (824288292).

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

434534364 is a wasteful number, since it uses less digits than its factorization.

434534364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 434534364 is about 20845.4878570879. The cubic root of 434534364 is about 757.4280348585.

Adding to 434534364 its reverse (463435434), we get a palindrome (897969798).

The spelling of 434534364 in words is "four hundred thirty-four million, five hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 66 74 94 99 111 132 141 148 188 198 222 282 333 396 407 423 444 517 564 631 666 814 846 1034 1221 1262 1332 1551 1628 1692 1739 1893 2068 2442 2524 3102 3478 3663 3786 4653 4884 5217 5679 6204 6941 6956 7326 7572 9306 10434 11358 13882 14652 15651 18612 19129 20823 20868 22716 23347 27764 29657 31302 38258 41646 46694 57387 59314 62469 62604 70041 76516 83292 88971 93388 114774 118628 124938 140082 172161 177942 210123 229548 249876 256817 266913 280164 326227 344322 355884 420246 513634 533826 652454 688644 770451 840492 978681 1027268 1067652 1097309 1304908 1540902 1957362 2194618 2311353 2936043 3081804 3291927 3914724 4389236 4622706 5872086 6583854 9245412 9875781 11744172 12070399 13167708 19751562 24140798 36211197 39503124 48281596 72422394 108633591 144844788 217267182 434534364