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379024416 = 25329071451
BaseRepresentation
bin10110100101110…
…111010000100000
3222102012102202100
4112211313100200
51234012240131
6101335450400
712251440311
oct2645672040
9872172670
10379024416
11184a49721
12a6b26a00
13606a9104
14384a4608
152341d7e6
hex16977420

379024416 has 72 divisors (see below), whose sum is σ = 1079782704. Its totient is φ = 126115200.

The previous prime is 379024409. The next prime is 379024423. The reversal of 379024416 is 614420973.

It is an interprime number because it is at equal distance from previous prime (379024409) and next prime (379024423).

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 260491 + ... + 261941.

It is an arithmetic number, because the mean of its divisors is an integer number (14996982).

Almost surely, 2379024416 is an apocalyptic number.

379024416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379024416 is an abundant number, since it is smaller than the sum of its proper divisors (700758288).

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

379024416 is a wasteful number, since it uses less digits than its factorization.

379024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 379024416 is about 19468.5494066713. The cubic root of 379024416 is about 723.6952615944.

The spelling of 379024416 in words is "three hundred seventy-nine million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 907 1451 1814 2721 2902 3628 4353 5442 5804 7256 8163 8706 10884 11608 13059 14512 16326 17412 21768 23216 26118 29024 32652 34824 43536 46432 52236 65304 69648 87072 104472 130608 139296 208944 261216 417888 1316057 2632114 3948171 5264228 7896342 10528456 11844513 15792684 21056912 23689026 31585368 42113824 47378052 63170736 94756104 126341472 189512208 379024416