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674004240 = 24365713127
BaseRepresentation
bin101000001011000…
…111110100010000
31201222020222000000
4220023013310100
52340021113430
6150514130000
722462640640
oct5013076420
91658228000
10674004240
113165043a8
12169880900
13a9839ba0
146572c520
153e289e60
hex282c7d10

674004240 has 560 divisors, whose sum is σ = 2914480128. Its totient is φ = 141087744.

The previous prime is 674004229. The next prime is 674004269. The reversal of 674004240 is 42400476.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307057 + ... + 5307183.

Almost surely, 2674004240 is an apocalyptic number.

674004240 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 674004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457240064).

674004240 is an abundant number, since it is smaller than the sum of its proper divisors (2240475888).

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

674004240 is a wasteful number, since it uses less digits than its factorization.

674004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 674004240 is about 25961.5916307148. The cubic root of 674004240 is about 876.7737580834.

The spelling of 674004240 in words is "six hundred seventy-four million, four thousand, two hundred forty".