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3344011344 = 243329293911
BaseRepresentation
bin1100011101010001…
…1001000001010000
322122001100101012000
43013110121001100
523322031330334
61311453434000
7145603425132
oct30724310120
98561311160
103344011344
111466675243
12793a9b900
13413a5194b
1423a195052
15148898299
hexc7519050

3344011344 has 160 divisors (see below), whose sum is σ = 9974361600. Its totient is φ = 1071383040.

The previous prime is 3344011301. The next prime is 3344011351. The reversal of 3344011344 is 4431104433.

It is a super-2 number, since 2×33440113442 = 22364823737601372672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3670249 + ... + 3671159.

It is an arithmetic number, because the mean of its divisors is an integer number (62339760).

Almost surely, 23344011344 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 3344011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

3344011344 is an abundant number, since it is smaller than the sum of its proper divisors (6630350256).

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

3344011344 is a wasteful number, since it uses less digits than its factorization.

3344011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3344011344 is about 57827.4272642316. The cubic root of 3344011344 is about 1495.3949649021.

Adding to 3344011344 its reverse (4431104433), we get a palindrome (7775115777).

It can be divided in two parts, 334401 and 1344, that multiplied together give a palindrome (449434944).

The spelling of 3344011344 in words is "three billion, three hundred forty-four million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 293 348 432 464 522 586 696 783 879 911 1044 1172 1392 1566 1758 1822 2088 2344 2637 2733 3132 3516 3644 4176 4688 5274 5466 6264 7032 7288 7911 8199 8497 10548 10932 12528 14064 14576 15822 16398 16994 21096 21864 24597 25491 26419 31644 32796 33988 42192 43728 49194 50982 52838 63288 65592 67976 76473 79257 98388 101964 105676 126576 131184 135952 152946 158514 196776 203928 211352 229419 237771 266923 305892 317028 393552 407856 422704 458838 475542 533846 611784 634056 713313 800769 917676 951084 1067692 1223568 1268112 1426626 1601538 1835352 1902168 2135384 2402307 2853252 3203076 3670704 3804336 4270768 4804614 5706504 6406152 7206921 7740767 9609228 11413008 12812304 14413842 15481534 19218456 23222301 28827684 30963068 38436912 46444602 57655368 61926136 69666903 92889204 115310736 123852272 139333806 185778408 209000709 278667612 371556816 418001418 557335224 836002836 1114670448 1672005672 3344011344