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374895840 = 2535111937101
BaseRepresentation
bin10110010110000…
…111010011100000
3222010102200102010
4112112013103200
51231433131330
6101111152520
712201363534
oct2626072340
9863380363
10374895840
11182689880
12a5675740
135c891b77
1437b0bbc4
1522da53b0
hex165874e0

374895840 has 384 divisors, whose sum is σ = 1406522880. Its totient is φ = 82944000.

The previous prime is 374895839. The next prime is 374895863. The reversal of 374895840 is 48598473.

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

It is a self number, because there is not a number n which added to its sum of digits gives 374895840.

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 63 ways as a sum of consecutive naturals, for example, 3711790 + ... + 3711890.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2374895840 is an apocalyptic number.

374895840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374895840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

374895840 is an abundant number, since it is smaller than the sum of its proper divisors (1031627040).

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

374895840 is a wasteful number, since it uses less digits than its factorization.

374895840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 374895840 is about 19362.2271446236. The cubic root of 374895840 is about 721.0580124310.

The spelling of 374895840 in words is "three hundred seventy-four million, eight hundred ninety-five thousand, eight hundred forty".