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667682340 = 2235133153521
BaseRepresentation
bin100111110011000…
…000011000100100
31201112100202222120
4213303000120210
52331411313330
6150130425540
722355130513
oct4763003044
91645322876
10667682340
11312986696
121677322b0
13a8435510
146496467a
153d93bc10
hex27cc0624

667682340 has 192 divisors, whose sum is σ = 2121541632. Its totient is φ = 155750400.

The previous prime is 667682333. The next prime is 667682369. The reversal of 667682340 is 43286766.

It is a junction number, because it is equal to n+sod(n) for n = 667682292 and 667682301.

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, 1281280 + ... + 1281800.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2667682340 is an apocalyptic number.

667682340 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 667682340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

667682340 is an abundant number, since it is smaller than the sum of its proper divisors (1453859292).

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

667682340 is a wasteful number, since it uses less digits than its factorization.

667682340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 667682340 is about 25839.5499186809. The cubic root of 667682340 is about 874.0238758233.

The spelling of 667682340 in words is "six hundred sixty-seven million, six hundred eighty-two thousand, three hundred forty".