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234376464 = 24371136173
BaseRepresentation
bin11011111100001…
…00110100010000
3121100000120001210
431332010310100
5440000021324
635131300120
75544111210
oct1576046420
9540016053
10234376464
11110332563
12665aa640
13397322ca
14231b0240
1515899d29
hexdf84d10

234376464 has 80 divisors (see below), whose sum is σ = 698205312. Its totient is φ = 66361344.

The previous prime is 234376453. The next prime is 234376469. The reversal of 234376464 is 464673432.

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

It is not an unprimeable number, because it can be changed into a prime (234376469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34882 + ... + 41054.

Almost surely, 2234376464 is an apocalyptic number.

234376464 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 234376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349102656).

234376464 is an abundant number, since it is smaller than the sum of its proper divisors (463828848).

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

234376464 is a wasteful number, since it uses less digits than its factorization.

234376464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6298 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 234376464 is about 15309.3587063600. The cubic root of 234376464 is about 616.5543023255.

The spelling of 234376464 in words is "two hundred thirty-four million, three hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6173 6328 9492 12346 12656 18519 18984 24692 37038 37968 43211 49384 74076 86422 98768 129633 148152 172844 259266 296304 345688 518532 691376 697549 1037064 1395098 2074128 2092647 2790196 4185294 4882843 5580392 8370588 9765686 11160784 14648529 16741176 19531372 29297058 33482352 39062744 58594116 78125488 117188232 234376464