Search a number
-
+
234362920 = 235112918367
BaseRepresentation
bin11011111100000…
…01100000101000
3121022222212111011
431332001200220
5434444103140
635131113304
75544023551
oct1576014050
9538885434
10234362920
11110323370
12665a2834
13397290ac
14231a9328
1515895cea
hexdf81828

234362920 has 64 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 82279680.

The previous prime is 234362917. The next prime is 234362941. The reversal of 234362920 is 29263432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577 + ... + 21943.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2234362920 is an apocalyptic number.

234362920 is a gapful number since it is divisible by the number (20) 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 234362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

234362920 is an abundant number, since it is smaller than the sum of its proper divisors (360760280).

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

234362920 is a wasteful number, since it uses less digits than its factorization.

234362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18418 (or 18414 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 234362920 is about 15308.9163561632. The cubic root of 234362920 is about 616.5424257457.

The spelling of 234362920 in words is "two hundred thirty-four million, three hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 18367 36734 73468 91835 146936 183670 202037 367340 404074 532643 734680 808148 1010185 1065286 1616296 2020370 2130572 2663215 4040740 4261144 5326430 5859073 8081480 10652860 11718146 21305720 23436292 29295365 46872584 58590730 117181460 234362920