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674058240 = 2123352353
BaseRepresentation
bin101000001011010…
…101000000000000
31201222100201002000
4220023111000000
52340024330430
6150515224000
722463254242
oct5013250000
91658321060
10674058240
11316540a29
121698a8000
13a985863b
1465744092
153e29ae60
hex282d5000

674058240 has 416 divisors, whose sum is σ = 2547728640. Its totient is φ = 168689664.

The previous prime is 674058233. The next prime is 674058271. The reversal of 674058240 is 42850476.

674058240 is a `hidden beast` number, since 6 + 7 + 405 + 8 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 674058195 and 674058204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718054 + ... + 12718106.

Almost surely, 2674058240 is an apocalyptic number.

674058240 is a gapful number since it is divisible by the number (60) 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 674058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273864320).

674058240 is an abundant number, since it is smaller than the sum of its proper divisors (1873670400).

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

674058240 is a wasteful number, since it uses less digits than its factorization.

674058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 674058240 is about 25962.6316077550. The cubic root of 674058240 is about 876.7971726337.

It can be divided in two parts, 6740 and 58240, that added together give a triangular number (64980 = T360).

The spelling of 674058240 in words is "six hundred seventy-four million, fifty-eight thousand, two hundred forty".