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234154464 = 25317143477
BaseRepresentation
bin11011111010011…
…10100111100000
3121022121021112120
431331032213200
5434420420324
635122424240
75542165035
oct1575164740
9538537476
10234154464
111101a0795
1266502080
133968524b
142315338c
1515854179
hexdf4e9e0

234154464 has 48 divisors (see below), whose sum is σ = 650816208. Its totient is φ = 73459712.

The previous prime is 234154457. The next prime is 234154469. The reversal of 234154464 is 464451432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2341544642 = 109656626022254592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234154469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70107 + ... + 73370.

It is an arithmetic number, because the mean of its divisors is an integer number (13558671).

Almost surely, 2234154464 is an apocalyptic number.

234154464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234154464 is an abundant number, since it is smaller than the sum of its proper divisors (416661744).

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

234154464 is a wasteful number, since it uses less digits than its factorization.

234154464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143507 (or 143499 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 234154464 is about 15302.1065216525. The cubic root of 234154464 is about 616.3595753021.

The spelling of 234154464 in words is "two hundred thirty-four million, one hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 143477 286954 430431 573908 860862 1147816 1721724 2295632 2439109 3443448 4591264 4878218 6886896 7317327 9756436 13773792 14634654 19512872 29269308 39025744 58538616 78051488 117077232 234154464