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674237952 = 29331719151
BaseRepresentation
bin101000001100000…
…000111000000000
31201222200211121000
4220030000320000
52340101103302
6150523132000
722464633213
oct5014007000
91658624530
10674237952
11316653a53
12169974000
13a98bc38b
146578d77a
153e2d431c
hex28300e00

674237952 has 320 divisors, whose sum is σ = 2239142400. Its totient is φ = 199065600.

The previous prime is 674237911. The next prime is 674237953. The reversal of 674237952 is 259732476.

It is a junction number, because it is equal to n+sod(n) for n = 674237898 and 674237907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674237953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4465077 + ... + 4465227.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2674237952 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 674237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

674237952 is an abundant number, since it is smaller than the sum of its proper divisors (1564904448).

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

674237952 is a wasteful number, since it uses less digits than its factorization.

674237952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 674237952 is about 25966.0923513724. The cubic root of 674237952 is about 876.8750872524.

The spelling of 674237952 in words is "six hundred seventy-four million, two hundred thirty-seven thousand, nine hundred fifty-two".