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234623424 = 2637174571
BaseRepresentation
bin11011111110000…
…01000111000000
3121100111002211110
431333001013000
5440030422144
635140443320
75546160210
oct1577010700
9540432743
10234623424
11110491062
12666a9540
13397ba839
1423236240
15158e80b9
hexdfc11c0

234623424 has 56 divisors (see below), whose sum is σ = 709460608. Its totient is φ = 67034880.

The previous prime is 234623413. The next prime is 234623447. The reversal of 234623424 is 424326432.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234623391 and 234623400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85942 + ... + 88629.

Almost surely, 2234623424 is an apocalyptic number.

234623424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234623424 is an abundant number, since it is smaller than the sum of its proper divisors (474837184).

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

234623424 is a wasteful number, since it uses less digits than its factorization.

234623424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174593 (or 174583 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 234623424 is about 15317.4222374393. The cubic root of 234623424 is about 616.7707785585.

Adding to 234623424 its reverse (424326432), we get a palindrome (658949856).

The spelling of 234623424 in words is "two hundred thirty-four million, six hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 174571 349142 523713 698284 1047426 1221997 1396568 2094852 2443994 2793136 3665991 4189704 4887988 5586272 7331982 8379408 9775976 11172544 14663964 16758816 19551952 29327928 33517632 39103904 58655856 78207808 117311712 234623424