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381048432 = 24359197683
BaseRepresentation
bin10110101101100…
…101011001110000
3222120000021011220
4112231211121300
51240022022212
6101451105040
712304600242
oct2655453160
9876007156
10381048432
11186101366
12a7742180
1360c3745b
1438870092
15236bd38c
hex16b65670

381048432 has 80 divisors (see below), whose sum is σ = 1007614080. Its totient is φ = 124047616.

The previous prime is 381048407. The next prime is 381048449. The reversal of 381048432 is 234840183.

It is a junction number, because it is equal to n+sod(n) for n = 381048393 and 381048402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557563 + ... + 558245.

It is an arithmetic number, because the mean of its divisors is an integer number (12595176).

Almost surely, 2381048432 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 381048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503807040).

381048432 is an abundant number, since it is smaller than the sum of its proper divisors (626565648).

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

381048432 is a wasteful number, since it uses less digits than its factorization.

381048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 381048432 is about 19520.4618797814. The cubic root of 381048432 is about 724.9811692295.

The spelling of 381048432 in words is "three hundred eighty-one million, forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 197 236 354 394 472 591 683 708 788 944 1182 1366 1416 1576 2049 2364 2732 2832 3152 4098 4728 5464 8196 9456 10928 11623 16392 23246 32784 34869 40297 46492 69738 80594 92984 120891 134551 139476 161188 185968 241782 269102 278952 322376 403653 483564 538204 557904 644752 807306 967128 1076408 1614612 1934256 2152816 3229224 6458448 7938509 15877018 23815527 31754036 47631054 63508072 95262108 127016144 190524216 381048432