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688234944 = 26322715791
BaseRepresentation
bin101001000001011…
…010000111000000
31202222000221212010
4221001122013000
52402142004234
6152143132520
723024620605
oct5101320700
91688027763
10688234944
11323544111
121725a4140
13ac780317
14675946ac
154064b6e9
hex2905a1c0

688234944 has 56 divisors (see below), whose sum is σ = 1829092608. Its totient is φ = 228386560.

The previous prime is 688234903. The next prime is 688234961. The reversal of 688234944 is 449432886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 688234893 and 688234902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35689 + ... + 51479.

It is an arithmetic number, because the mean of its divisors is an integer number (32662368).

Almost surely, 2688234944 is an apocalyptic number.

688234944 is a gapful number since it is divisible by the number (64) 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 688234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914546304).

688234944 is an abundant number, since it is smaller than the sum of its proper divisors (1140857664).

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

688234944 is a wasteful number, since it uses less digits than its factorization.

688234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033 (or 16023 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 688234944 is about 26234.2322929412. The cubic root of 688234944 is about 882.9014698099.

The spelling of 688234944 in words is "six hundred eighty-eight million, two hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 15791 21792 31582 43584 47373 63164 94746 126328 189492 252656 378984 505312 757968 1010624 1515936 3031872 3584557 7169114 10753671 14338228 21507342 28676456 43014684 57352912 86029368 114705824 172058736 229411648 344117472 688234944