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683868432 = 243133135353
BaseRepresentation
bin101000110000110…
…000000100010000
31202122211010010110
4220300300010100
52400032242212
6151505401320
722642533342
oct5060600420
91678733113
10683868432
11321031525
12171039240
13ab8b19a0
1466b79292
1540087a3c
hex28c30110

683868432 has 80 divisors (see below), whose sum is σ = 1963985408. Its totient is φ = 203627520.

The previous prime is 683868421. The next prime is 683868473. The reversal of 683868432 is 234868386.

It is a happy number.

It is a super-2 number, since 2×6838684322 = 935352064572277248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668 + ... + 37020.

Almost surely, 2683868432 is an apocalyptic number.

683868432 is a gapful number since it is divisible by the number (62) 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 683868432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981992704).

683868432 is an abundant number, since it is smaller than the sum of its proper divisors (1280116976).

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

683868432 is a wasteful number, since it uses less digits than its factorization.

683868432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35408 (or 35402 counting only the distinct ones).

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

The square root of 683868432 is about 26150.8782261705. The cubic root of 683868432 is about 881.0303152615.

The spelling of 683868432 in words is "six hundred eighty-three million, eight hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 35353 70706 106059 141412 212118 282824 424236 459589 565648 848472 919178 1095943 1378767 1696944 1838356 2191886 2757534 3287829 3676712 4383772 5515068 6575658 7353424 8767544 11030136 13151316 14247259 17535088 22060272 26302632 28494518 42741777 52605264 56989036 85483554 113978072 170967108 227956144 341934216 683868432