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234313024 = 26111671993
BaseRepresentation
bin11011111011101…
…01010101000000
3121022220100001011
431331311111000
5434441004044
635130050304
75543425231
oct1575652500
9538810034
10234313024
11110299930
1266579994
133970c47a
1423195088
1515886134
hexdf75540

234313024 has 56 divisors (see below), whose sum is σ = 510527808. Its totient is φ = 105815040.

The previous prime is 234312941. The next prime is 234313043. The reversal of 234313024 is 420313432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 234312986 and 234313004.

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, 116572 + ... + 118564.

It is an arithmetic number, because the mean of its divisors is an integer number (9116568).

Almost surely, 2234313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255263904).

234313024 is an abundant number, since it is smaller than the sum of its proper divisors (276214784).

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

234313024 is a wasteful number, since it uses less digits than its factorization.

234313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 234313024 is about 15307.2866308827. The cubic root of 234313024 is about 616.4986685617.

Adding to 234313024 its reverse (420313432), we get a palindrome (654626456).

The spelling of 234313024 in words is "two hundred thirty-four million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 167 176 334 352 668 704 1336 1837 1993 2672 3674 3986 5344 7348 7972 10688 14696 15944 21923 29392 31888 43846 58784 63776 87692 117568 127552 175384 332831 350768 665662 701536 1331324 1403072 2662648 3661141 5325296 7322282 10650592 14644564 21301184 29289128 58578256 117156512 234313024