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234253344 = 25313238161
BaseRepresentation
bin11011111011001…
…10110000100000
3121022210022011210
431331212300200
5434432101334
635124510120
75543056233
oct1575466040
9538708153
10234253344
11110259006
126654b340
13396bb260
142317b41a
15158735e9
hexdf66c20

234253344 has 96 divisors (see below), whose sum is σ = 691092864. Its totient is φ = 68935680.

The previous prime is 234253343. The next prime is 234253361. The reversal of 234253344 is 443352432.

234253344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (234253343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24624 + ... + 32784.

It is an arithmetic number, because the mean of its divisors is an integer number (7198884).

Almost surely, 2234253344 is an apocalyptic number.

234253344 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 234253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345546432).

234253344 is an abundant number, since it is smaller than the sum of its proper divisors (456839520).

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

234253344 is a wasteful number, since it uses less digits than its factorization.

234253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8202 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 234253344 is about 15305.3371083423. The cubic root of 234253344 is about 616.4463229656.

The spelling of 234253344 in words is "two hundred thirty-four million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 8161 9568 14352 16322 24483 28704 32644 48966 65288 97932 106093 130576 187703 195864 212186 261152 318279 375406 391728 424372 563109 636558 750812 783456 848744 1126218 1273116 1501624 1697488 2252436 2440139 2546232 3003248 3394976 4504872 4880278 5092464 6006496 7320417 9009744 9760556 10184928 14640834 18019488 19521112 29281668 39042224 58563336 78084448 117126672 234253344