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234315624 = 233172412383
BaseRepresentation
bin11011111011101…
…01111101101000
3121022220110121110
431331311331220
5434441044444
635130110320
75543435634
oct1575657550
9538813543
10234315624
111102a0884
126657b3a0
13397106ca
1423195dc4
1515886cb9
hexdf75f68

234315624 has 64 divisors (see below), whose sum is σ = 623082240. Its totient is φ = 73175040.

The previous prime is 234315623. The next prime is 234315647. The reversal of 234315624 is 426513432.

It is a junction number, because it is equal to n+sod(n) for n = 234315591 and 234315600.

It is not an unprimeable number, because it can be changed into a prime (234315623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97137 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (9735660).

Almost surely, 2234315624 is an apocalyptic number.

234315624 is a gapful number since it is divisible by the number (24) 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 234315624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311541120).

234315624 is an abundant number, since it is smaller than the sum of its proper divisors (388766616).

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

234315624 is a wasteful number, since it uses less digits than its factorization.

234315624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2646 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 234315624 is about 15307.3715575209. The cubic root of 234315624 is about 616.5009488313.

The spelling of 234315624 in words is "two hundred thirty-four million, three hundred fifteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 241 408 482 723 964 1446 1928 2383 2892 4097 4766 5784 7149 8194 9532 12291 14298 16388 19064 24582 28596 32776 40511 49164 57192 81022 98328 121533 162044 243066 324088 486132 574303 972264 1148606 1722909 2297212 3445818 4594424 6891636 9763151 13783272 19526302 29289453 39052604 58578906 78105208 117157812 234315624