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34879848540 = 22352512316059
BaseRepresentation
bin100000011111000000…
…000100000001011100
310100000211120220010020
4200133000010001130
51032413220123130
624005032112140
72343232551345
oct403700040134
9110024526106
1034879848540
1113879846509
126915235650
13339b375b44
14198c5910cc
15d92249e10
hex81f00405c

34879848540 has 48 divisors (see below), whose sum is σ = 98052716160. Its totient is φ = 9264232000.

The previous prime is 34879848527. The next prime is 34879848547. The reversal of 34879848540 is 4584897843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879848547) 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 15 ways as a sum of consecutive naturals, for example, 1142970 + ... + 1173089.

It is an arithmetic number, because the mean of its divisors is an integer number (2042764920).

Almost surely, 234879848540 is an apocalyptic number.

34879848540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34879848540 is an abundant number, since it is smaller than the sum of its proper divisors (63172867620).

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

34879848540 is a wasteful number, since it uses less digits than its factorization.

34879848540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316322 (or 2316320 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 34879848540 in words is "thirty-four billion, eight hundred seventy-nine million, eight hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 2316059 4632118 6948177 9264236 11580295 13896354 23160590 27792708 34740885 46321180 69481770 138963540 581330809 1162661618 1743992427 2325323236 2906654045 3487984854 5813308090 6975969708 8719962135 11626616180 17439924270 34879848540