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234083920 = 2457418007
BaseRepresentation
bin11011111001111…
…01011001010000
3121022110200202211
431330331121100
5434411141140
635121121504
75541452260
oct1574753120
9538420684
10234083920
11110152794
1266489294
133965c0c5
14231357a0
151583d2ea
hexdf3d650

234083920 has 40 divisors (see below), whose sum is σ = 621995904. Its totient is φ = 80257152.

The previous prime is 234083909. The next prime is 234083951. The reversal of 234083920 is 29380432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208444 + ... + 209563.

Almost surely, 2234083920 is an apocalyptic number.

234083920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234083920 is an abundant number, since it is smaller than the sum of its proper divisors (387911984).

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

234083920 is a wasteful number, since it uses less digits than its factorization.

234083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418027 (or 418021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 234083920 is about 15299.8013058994. The cubic root of 234083920 is about 616.2976719523.

The spelling of 234083920 in words is "two hundred thirty-four million, eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 418007 836014 1672028 2090035 2926049 3344056 4180070 5852098 6688112 8360140 11704196 14630245 16720280 23408392 29260490 33440560 46816784 58520980 117041960 234083920