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375274116 = 2232717251349
BaseRepresentation
bin10110010111100…
…011101010000100
3222011010220022100
4112113203222010
51232032232431
6101123232100
712204530430
oct2627435204
9864126270
10375274116
11182917aa8
12a5818630
135c9950b9
1437ba99c0
1522e2c4e6
hex165e3a84

375274116 has 144 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 100224000.

The previous prime is 375274069. The next prime is 375274139. The reversal of 375274116 is 611472573.

It is a happy number.

375274116 is a `hidden beast` number, since 375 + 274 + 1 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075110 + ... + 1075458.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2375274116 is an apocalyptic number.

375274116 is a gapful number since it is divisible by the number (36) 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 375274116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

375274116 is an abundant number, since it is smaller than the sum of its proper divisors (780498684).

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

375274116 is a wasteful number, since it uses less digits than its factorization.

375274116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 375274116 is about 19371.9930827987. The cubic root of 375274116 is about 721.3004506619.

The spelling of 375274116 in words is "three hundred seventy-five million, two hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 251 252 306 349 357 476 502 612 698 714 753 1004 1047 1071 1396 1428 1506 1757 2094 2142 2259 2443 3012 3141 3514 4188 4267 4284 4518 4886 5271 5933 6282 7028 7329 8534 9036 9772 10542 11866 12564 12801 14658 15813 17068 17799 21084 21987 23732 25602 29316 29869 31626 35598 38403 41531 43974 51204 53397 59738 63252 71196 76806 83062 87599 87948 89607 106794 119476 124593 153612 166124 175198 179214 213588 249186 262797 268821 350396 358428 373779 498372 525594 537642 613193 747558 788391 1051188 1075284 1226386 1489183 1495116 1576782 1839579 2452772 2978366 3153564 3679158 4467549 5518737 5956732 7358316 8935098 10424281 11037474 13402647 17870196 20848562 22074948 26805294 31272843 41697124 53610588 62545686 93818529 125091372 187637058 375274116