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38460240 = 24325713587
BaseRepresentation
bin1001001010110…
…1101101010000
32200100222112100
42102231231100
534321211430
63452200400
7644622660
oct222555520
980328470
1038460240
111a789825
1210a69100
137c77a50
1451721a0
15359a960
hex24adb50

38460240 has 240 divisors, whose sum is σ = 159239808. Its totient is φ = 8100864.

The previous prime is 38460229. The next prime is 38460259. The reversal of 38460240 is 4206483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65227 + ... + 65813.

Almost surely, 238460240 is an apocalyptic number.

38460240 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 38460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

38460240 is an abundant number, since it is smaller than the sum of its proper divisors (120779568).

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

38460240 is a wasteful number, since it uses less digits than its factorization.

38460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38460240 is about 6201.6320432609. The cubic root of 38460240 is about 337.5493919483.

The spelling of 38460240 in words is "thirty-eight million, four hundred sixty thousand, two hundred forty".