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381074544 = 243637883
BaseRepresentation
bin10110101101101…
…011110001110000
3222120001121000000
4112231223301300
51240023341134
6101451430000
712305036334
oct2655536160
9876047000
10381074544
11186119a44
12a7755300
1360c462c6
14388797c4
15236c5e99
hex16b6bc70

381074544 has 140 divisors (see below), whose sum is σ = 1138197736. Its totient is φ = 123451776.

The previous prime is 381074531. The next prime is 381074579. The reversal of 381074544 is 445470183.

381074544 is a `hidden beast` number, since 3 + 8 + 107 + 4 + 544 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 381074499 and 381074508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431127 + ... + 432009.

Almost surely, 2381074544 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 381074544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569098868).

381074544 is an abundant number, since it is smaller than the sum of its proper divisors (757123192).

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

381074544 is an equidigital number, since it uses as much as digits as its factorization.

381074544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 381074544 is about 19521.1307049566. The cubic root of 381074544 is about 724.9977290456.

The spelling of 381074544 in words is "three hundred eighty-one million, seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 729 883 888 972 999 1296 1332 1458 1766 1776 1944 1998 2649 2664 2916 2997 3532 3888 3996 5298 5328 5832 5994 7064 7947 7992 8991 10596 11664 11988 14128 15894 15984 17982 21192 23841 23976 26973 31788 32671 35964 42384 47682 47952 53946 63576 65342 71523 71928 95364 98013 107892 127152 130684 143046 143856 190728 196026 214569 215784 261368 286092 294039 381456 392052 429138 431568 522736 572184 588078 643707 784104 858276 882117 1144368 1176156 1287414 1568208 1716552 1764234 2352312 2574828 2646351 3433104 3528468 4704624 5149656 5292702 7056936 7939053 10299312 10585404 14113872 15878106 21170808 23817159 31756212 42341616 47634318 63512424 95268636 127024848 190537272 381074544