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674524032 = 27371397199
BaseRepresentation
bin101000001101000…
…110101110000000
31202000020101000120
4220031012232000
52340134232112
6150533220240
722500234240
oct5015065600
91660211016
10674524032
11316829986
12169a91680
13a998c660
1465825b20
153e33de8c
hex28346b80

674524032 has 256 divisors, whose sum is σ = 2239104000. Its totient is φ = 175177728.

The previous prime is 674524003. The next prime is 674524033. The reversal of 674524032 is 230425476.

It is a junction number, because it is equal to n+sod(n) for n = 674523984 and 674524002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674524033) 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 31 ways as a sum of consecutive naturals, for example, 3389469 + ... + 3389667.

It is an arithmetic number, because the mean of its divisors is an integer number (8746500).

Almost surely, 2674524032 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 674524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119552000).

674524032 is an abundant number, since it is smaller than the sum of its proper divisors (1564579968).

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

674524032 is a wasteful number, since it uses less digits than its factorization.

674524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 674524032 is about 25971.6004897657. The cubic root of 674524032 is about 876.9990894453. Note that the first 3 decimals are identical.

The spelling of 674524032 in words is "six hundred seventy-four million, five hundred twenty-four thousand, thirty-two".