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512340036 = 223133722399
BaseRepresentation
bin11110100010011…
…011000001000100
31022201001120101220
4132202123001010
52022124340121
6122501120340
715460550505
oct3642330104
91281046356
10512340036
1124322571a
121236b90b0
13821b5ab0
144c088bac
152eea46c6
hex1e89b044

512340036 has 72 divisors (see below), whose sum is σ = 1323705600. Its totient is φ = 153318528.

The previous prime is 512339983. The next prime is 512340041. The reversal of 512340036 is 630043215.

It is a happy number.

It is a super-3 number, since 3×5123400363 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512339988 and 512340015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212365 + ... + 214763.

It is an arithmetic number, because the mean of its divisors is an integer number (18384800).

Almost surely, 2512340036 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 512340036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661852800).

512340036 is an abundant number, since it is smaller than the sum of its proper divisors (811365564).

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

512340036 is a wasteful number, since it uses less digits than its factorization.

512340036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 512340036 is about 22634.9295558877. The cubic root of 512340036 is about 800.1770628914.

The spelling of 512340036 in words is "five hundred twelve million, three hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1369 1443 1924 2399 2738 2886 4107 4798 5476 5772 7197 8214 9596 14394 16428 17797 28788 31187 35594 53391 62374 71188 88763 93561 106782 124748 177526 187122 213564 266289 355052 374244 532578 1065156 1153919 2307838 3284231 3461757 4615676 6568462 6923514 9852693 13136924 13847028 19705386 39410772 42695003 85390006 128085009 170780012 256170018 512340036