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374228064 = 253272937173
BaseRepresentation
bin10110010011100…
…100010001100000
3222002011202101200
4112103210101200
51231300244224
6101045001200
712162612630
oct2623442140
9862152350
10374228064
111822730a1
12a53b3200
135c6b9c32
14379b66c0
1522cc25c9
hex164e4460

374228064 has 288 divisors, whose sum is σ = 1299654720. Its totient is φ = 99864576.

The previous prime is 374228051. The next prime is 374228069. The reversal of 374228064 is 460822473.

374228064 is a `hidden beast` number, since 374 + 2 + 280 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374228069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163082 + ... + 2163254.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2374228064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649827360).

374228064 is an abundant number, since it is smaller than the sum of its proper divisors (925426656).

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

374228064 is a wasteful number, since it uses less digits than its factorization.

374228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

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

The square root of 374228064 is about 19344.9751615245. The cubic root of 374228064 is about 720.6296344143.

The spelling of 374228064 in words is "three hundred seventy-four million, two hundred twenty-eight thousand, sixty-four".