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3868134432 = 253293137519
BaseRepresentation
bin1110011010001111…
…0000110000100000
3100222120120120220020
43212203300300200
530410220300212
61435455313440
7164566412601
oct34643606040
910876516806
103868134432
111705508718
128bb51b880
13498501a56
14289a29da8
151798c8d8c
hexe68f0c20

3868134432 has 48 divisors (see below), whose sum is σ = 10188581760. Its totient is φ = 1284968192.

The previous prime is 3868134427. The next prime is 3868134449. The reversal of 3868134432 is 2344318683.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40632 + ... + 96887.

It is an arithmetic number, because the mean of its divisors is an integer number (212262120).

Almost surely, 23868134432 is an apocalyptic number.

3868134432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3868134432 is an abundant number, since it is smaller than the sum of its proper divisors (6320447328).

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

3868134432 is a wasteful number, since it uses less digits than its factorization.

3868134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137825 (or 137817 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 3868134432 is about 62194.3279728948. The cubic root of 3868134432 is about 1569.7621493171.

The spelling of 3868134432 in words is "three billion, eight hundred sixty-eight million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 28128 137519 275038 412557 550076 825114 1100152 1650228 2200304 3300456 4400608 6600912 13201824 40293067 80586134 120879201 161172268 241758402 322344536 483516804 644689072 967033608 1289378144 1934067216 3868134432