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374372064 = 25331123581
BaseRepresentation
bin10110010100000…
…111011011100000
3222002110001221000
4112110013123200
51231314401224
6101052032000
712164052513
oct2624073340
9862401830
10374372064
11182361300
12a5462600
135c73a641
1437a12d7a
1522d000c9
hex165076e0

374372064 has 144 divisors (see below), whose sum is σ = 1200543120. Its totient is φ = 113414400.

The previous prime is 374372057. The next prime is 374372123. The reversal of 374372064 is 460273473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102754 + ... + 106334.

It is an arithmetic number, because the mean of its divisors is an integer number (8337105).

Almost surely, 2374372064 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 374372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600271560).

374372064 is an abundant number, since it is smaller than the sum of its proper divisors (826171056).

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

374372064 is a wasteful number, since it uses less digits than its factorization.

374372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 374372064 is about 19348.6967002948. The cubic root of 374372064 is about 720.7220534230.

The spelling of 374372064 in words is "three hundred seventy-four million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3581 3872 4356 4752 5808 6534 7162 8712 9504 10743 11616 13068 14324 17424 21486 26136 28648 32229 34848 39391 42972 52272 57296 64458 78782 85944 96687 104544 114592 118173 128916 157564 171888 193374 236346 257832 315128 343776 354519 386748 433301 472692 515664 630256 709038 773496 866602 945384 1031328 1063557 1260512 1299903 1418076 1546992 1733204 1890768 2127114 2599806 2836152 3093984 3466408 3781536 3899709 4254228 5199612 5672304 6932816 7799418 8508456 10399224 11344608 11699127 13865632 15598836 17016912 20798448 23398254 31197672 34033824 41596896 46796508 62395344 93593016 124790688 187186032 374372064