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683414336 = 26118291171
BaseRepresentation
bin101000101111000…
…001001101000000
31202121222001020002
4220233001031000
52344423224321
6151451535132
722635632423
oct5057011500
91677861202
10683414336
11320851340
12170a5a4a8
13ab7830a7
1466a9b9ba
153eee820b
hex28bc1340

683414336 has 56 divisors (see below), whose sum is σ = 1482486240. Its totient is φ = 310003200.

The previous prime is 683414323. The next prime is 683414339. The reversal of 683414336 is 633414386.

It is a self number, because there is not a number n which added to its sum of digits gives 683414336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683414339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583031 + ... + 584201.

Almost surely, 2683414336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741243120).

683414336 is an abundant number, since it is smaller than the sum of its proper divisors (799071904).

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

683414336 is a wasteful number, since it uses less digits than its factorization.

683414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 683414336 is about 26142.1945521029. The cubic root of 683414336 is about 880.8352675463.

The spelling of 683414336 in words is "six hundred eighty-three million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 829 1171 1658 2342 3316 4684 6632 9119 9368 12881 13264 18238 18736 25762 26528 36476 37472 51524 53056 72952 74944 103048 145904 206096 291808 412192 583616 824384 970759 1941518 3883036 7766072 10678349 15532144 21356698 31064288 42713396 62128576 85426792 170853584 341707168 683414336