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374890368 = 2731951383
BaseRepresentation
bin10110010110000…
…101111110000000
3222010102101220110
4112112011332000
51231432442433
6101111111320
712201341556
oct2626057600
9863371813
10374890368
11182685756
12a5672540
135c88c528
1437b09bd6
1522da3963
hex16585f80

374890368 has 64 divisors (see below), whose sum is σ = 1048233600. Its totient is φ = 118384128.

The previous prime is 374890343. The next prime is 374890391. The reversal of 374890368 is 863098473.

374890368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18396 + ... + 32987.

It is an arithmetic number, because the mean of its divisors is an integer number (16378650).

Almost surely, 2374890368 is an apocalyptic number.

374890368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

374890368 is an abundant number, since it is smaller than the sum of its proper divisors (673343232).

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

374890368 is a wasteful number, since it uses less digits than its factorization.

374890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51419 (or 51407 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 374890368 is about 19362.0858380496. The cubic root of 374890368 is about 721.0545042133.

The spelling of 374890368 in words is "three hundred seventy-four million, eight hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 51383 102766 154149 205532 308298 411064 616596 822128 976277 1233192 1644256 1952554 2466384 2928831 3288512 3905108 4932768 5857662 6577024 7810216 9865536 11715324 15620432 19731072 23430648 31240864 46861296 62481728 93722592 124963456 187445184 374890368