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381076416 = 2632794513
BaseRepresentation
bin10110101101101…
…100001111000000
3222120001200120100
4112231230033000
51240023421131
6101451442400
712305044650
oct2655541700
9876050510
10381076416
11186120396
12a7756400
1360c47106
143887a360
15236c67e6
hex16b6c3c0

381076416 has 84 divisors (see below), whose sum is σ = 1248340912. Its totient is φ = 108877824.

The previous prime is 381076391. The next prime is 381076439. The reversal of 381076416 is 614670183.

381076416 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43225 + ... + 51288.

Almost surely, 2381076416 is an apocalyptic number.

381076416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381076416 is an abundant number, since it is smaller than the sum of its proper divisors (867264496).

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

381076416 is a wasteful number, since it uses less digits than its factorization.

381076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94538 (or 94525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 381076416 is about 19521.1786529400. The cubic root of 381076416 is about 724.9989162092.

The spelling of 381076416 in words is "three hundred eighty-one million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 94513 189026 283539 378052 567078 661591 756104 850617 1134156 1323182 1512208 1701234 1984773 2268312 2646364 3024416 3402468 3969546 4536624 5292728 5954319 6048832 6804936 7939092 9073248 10585456 11908638 13609872 15878184 18146496 21170912 23817276 27219744 31756368 42341824 47634552 54439488 63512736 95269104 127025472 190538208 381076416