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676574640 = 243357291543
BaseRepresentation
bin101000010100111…
…011010110110000
31202011002112221000
4220110323112300
52341200342030
6151045202000
722523534550
oct5024732660
91664075830
10676574640
113179aa5a5
1216a700300
13aa229b31
1465bdb160
153e5e6860
hex2853b5b0

676574640 has 320 divisors, whose sum is σ = 2756966400. Its totient is φ = 149216256.

The previous prime is 676574539. The next prime is 676574671. The reversal of 676574640 is 46475676.

It is a happy number.

676574640 is a `hidden beast` number, since 6 + 76 + 574 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×6765746402 = 915506486982259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437709 + ... + 439251.

It is an arithmetic number, because the mean of its divisors is an integer number (8615520).

Almost surely, 2676574640 is an apocalyptic number.

676574640 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 676574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378483200).

676574640 is an abundant number, since it is smaller than the sum of its proper divisors (2080391760).

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

676574640 is a wasteful number, since it uses less digits than its factorization.

676574640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 676574640 is about 26011.0484217765. The cubic root of 676574640 is about 877.8869065957.

The spelling of 676574640 in words is "six hundred seventy-six million, five hundred seventy-four thousand, six hundred forty".