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34252546404 = 22323433286613
BaseRepresentation
bin11111111001100111…
…000110000101100100
310021102010012122100210
4133321213012011210
51030122122441104
623422502535420
72321544561216
oct377147060544
9107363178323
1034252546404
111358774009a
12677b137570
1332cb40b24b
14192d13c5b6
15d57137989
hex7f99c6164

34252546404 has 48 divisors (see below), whose sum is σ = 83590399872. Its totient is φ = 10895841792.

The previous prime is 34252546387. The next prime is 34252546501. The reversal of 34252546404 is 40464525243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23799 + ... + 262814.

It is an arithmetic number, because the mean of its divisors is an integer number (1741466664).

Almost surely, 234252546404 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 34252546404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41795199936).

34252546404 is an abundant number, since it is smaller than the sum of its proper divisors (49337853468).

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

34252546404 is a wasteful number, since it uses less digits than its factorization.

34252546404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287076 (or 287074 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 34252546404 in words is "thirty-four billion, two hundred fifty-two million, five hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 433 866 1299 1732 2598 5196 9959 19918 29877 39836 59754 119508 286613 573226 859839 1146452 1719678 3439356 6592099 13184198 19776297 26368396 39552594 79105188 124103429 248206858 372310287 496413716 744620574 1489241148 2854378867 5708757734 8563136601 11417515468 17126273202 34252546404