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234038880 = 25325162527
BaseRepresentation
bin11011111001100…
…10011001100000
3121022101101222200
431330302121200
5434403221010
635120133200
75541204045
oct1574623140
9538341880
10234038880
11110121969
1266467200
133964475a
14231231cc
151582ecc0
hexdf32660

234038880 has 72 divisors (see below), whose sum is σ = 798662592. Its totient is φ = 62409984.

The previous prime is 234038867. The next prime is 234038923. The reversal of 234038880 is 88830432.

It is a happy number.

234038880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 79824 + ... + 82703.

It is an arithmetic number, because the mean of its divisors is an integer number (11092536).

Almost surely, 2234038880 is an apocalyptic number.

234038880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234038880 is an abundant number, since it is smaller than the sum of its proper divisors (564623712).

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

234038880 is a wasteful number, since it uses less digits than its factorization.

234038880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162548 (or 162537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 234038880 is about 15298.3293205500. The cubic root of 234038880 is about 616.2581422149.

The spelling of 234038880 in words is "two hundred thirty-four million, thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 162527 325054 487581 650108 812635 975162 1300216 1462743 1625270 1950324 2437905 2600432 2925486 3250540 3900648 4875810 5200864 5850972 6501080 7313715 7801296 9751620 11701944 13002160 14627430 15602592 19503240 23403888 26004320 29254860 39006480 46807776 58509720 78012960 117019440 234038880