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38834460 = 22325731737
BaseRepresentation
bin1001010000100…
…1000100011100
32201001222212100
42110021010130
534420200320
63504205100
7651042000
oct224110434
981058770
1038834460
111aa149a5
1211009790
138079192
14522c700
153621790
hex250911c

38834460 has 288 divisors, whose sum is σ = 149385600. Its totient is φ = 8128512.

The previous prime is 38834447. The next prime is 38834483. The reversal of 38834460 is 6443883.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049562 + ... + 1049598.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 238834460 is an apocalyptic number.

38834460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38834460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

38834460 is an abundant number, since it is smaller than the sum of its proper divisors (110551140).

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

38834460 is a wasteful number, since it uses less digits than its factorization.

38834460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38834460 is about 6231.7300968511. The cubic root of 38834460 is about 338.6406508801.

The spelling of 38834460 in words is "thirty-eight million, eight hundred thirty-four thousand, four hundred sixty".