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234803952 = 24322959953
BaseRepresentation
bin11011111111011…
…01001011110000
3121100211021110200
431333231023300
5440102211302
635144355200
75550541425
oct1577551360
9540737420
10234803952
111105a4759
1266775b00
1339851a66
1423281d4c
151593181c
hexdfed2f0

234803952 has 120 divisors (see below), whose sum is σ = 692031600. Its totient is φ = 74210304.

The previous prime is 234803917. The next prime is 234803977. The reversal of 234803952 is 259308432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245908 + ... + 246860.

It is an arithmetic number, because the mean of its divisors is an integer number (5766930).

Almost surely, 2234803952 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 234803952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346015800).

234803952 is an abundant number, since it is smaller than the sum of its proper divisors (457227648).

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

234803952 is a wasteful number, since it uses less digits than its factorization.

234803952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 234803952 is about 15323.3140018731. The cubic root of 234803952 is about 616.9289268057.

The spelling of 234803952 in words is "two hundred thirty-four million, eight hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 348 354 464 472 522 531 696 708 944 953 1044 1062 1392 1416 1711 1906 2088 2124 2832 2859 3422 3812 4176 4248 5133 5718 6844 7624 8496 8577 10266 11436 13688 15248 15399 17154 20532 22872 27376 27637 30798 34308 41064 45744 55274 56227 61596 68616 82128 82911 110548 112454 123192 137232 165822 168681 221096 224908 246384 248733 331644 337362 442192 449816 497466 506043 663288 674724 899632 994932 1012086 1326576 1349448 1630583 1989864 2024172 2698896 3261166 3979728 4048344 4891749 6522332 8096688 9783498 13044664 14675247 19566996 26089328 29350494 39133992 58700988 78267984 117401976 234803952