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374426820 = 223356779131
BaseRepresentation
bin10110010100010…
…100110011000100
3222002112212001000
4112110110303010
51231323124240
6101053133300
712164401245
oct2624246304
9862485030
10374426820
11182399459
12a548a230
135c759541
1437a28ccc
1522d11430
hex16514cc4

374426820 has 192 divisors, whose sum is σ = 1206374400. Its totient is φ = 96370560.

The previous prime is 374426797. The next prime is 374426831. The reversal of 374426820 is 28624473.

374426820 is a `hidden beast` number, since 374 + 4 + 268 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2858155 + ... + 2858285.

It is an arithmetic number, because the mean of its divisors is an integer number (6283200).

Almost surely, 2374426820 is an apocalyptic number.

374426820 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 374426820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

374426820 is an abundant number, since it is smaller than the sum of its proper divisors (831947580).

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

374426820 is a wasteful number, since it uses less digits than its factorization.

374426820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 374426820 is about 19350.1116275850. Note that the first 3 decimals coincide. The cubic root of 374426820 is about 720.7571895320.

The spelling of 374426820 in words is "three hundred seventy-four million, four hundred twenty-six thousand, eight hundred twenty".