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34512543252 = 223211242335969
BaseRepresentation
bin100000001001000110…
…111001111000010100
310022002020102211222200
4200021012321320110
51031140202341002
623504351324500
72331152530425
oct401106717024
9108066384880
1034512543252
1113700481620
126832220730
133340240c35
14195589b64c
15d6ed93b1c
hex8091b9e14

34512543252 has 72 divisors (see below), whose sum is σ = 95212877760. Its totient is φ = 10453739520.

The previous prime is 34512543229. The next prime is 34512543253. The reversal of 34512543252 is 25234521543.

34512543252 is a `hidden beast` number, since 34 + 51 + 254 + 325 + 2 = 666.

It is a super-2 number, since 2×345125432522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34512543253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941524 + ... + 977492.

It is an arithmetic number, because the mean of its divisors is an integer number (1322401080).

Almost surely, 234512543252 is an apocalyptic number.

It is an amenable number.

34512543252 is an abundant number, since it is smaller than the sum of its proper divisors (60700334508).

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

34512543252 is a wasteful number, since it uses less digits than its factorization.

34512543252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38413 (or 38408 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

It can be divided in two parts, 3451254 and 3252, that added together give a triangular number (3454506 = T2628).

The spelling of 34512543252 in words is "thirty-four billion, five hundred twelve million, five hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2423 4846 7269 9692 14538 21807 26653 29076 35969 43614 53306 71938 79959 87228 106612 107907 143876 159918 215814 239877 319836 323721 395659 431628 479754 647442 791318 959508 1186977 1294884 1582636 2373954 3560931 4747908 7121862 14243724 87152887 174305774 261458661 348611548 522917322 784375983 958681757 1045834644 1568751966 1917363514 2876045271 3137503932 3834727028 5752090542 8628135813 11504181084 17256271626 34512543252