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374625000 = 23345637
BaseRepresentation
bin10110010101000…
…101001011101000
3222002220220220000
4112111011023220
51231401000000
6101101303000
712166155111
oct2625051350
9862826800
10374625000
11182514342
12a5564a60
135c7c87c9
1437a7b208
1522d50000
hex165452e8

374625000 has 280 divisors, whose sum is σ = 1347053070. Its totient is φ = 97200000.

The previous prime is 374624969. The next prime is 374625001. The reversal of 374625000 is 526473.

It is a happy number.

374625000 is a `hidden beast` number, since 37 + 4 + 625 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 116251524 + 258373476 = 10782^2 + 16074^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (374625001) by changing a digit.

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 69 ways as a sum of consecutive naturals, for example, 10124982 + ... + 10125018.

Almost surely, 2374625000 is an apocalyptic number.

374625000 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 374625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673526535).

374625000 is an abundant number, since it is smaller than the sum of its proper divisors (972428070).

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

374625000 is an frugal number, since it uses more digits than its factorization.

374625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 374625000 is about 19355.2318508459. The cubic root of 374625000 is about 720.8843300558.

The spelling of 374625000 in words is "three hundred seventy-four million, six hundred twenty-five thousand".