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231405328 = 24711317383
BaseRepresentation
bin11011100101011…
…11011100010000
3121010102121102201
431302233130100
5433214432303
634543452544
75506625050
oct1562573420
9533377381
10231405328
11109693280
12655b7154
1338c31b3b
1422a39560
15154ae81d
hexdcaf710

231405328 has 160 divisors (see below), whose sum is σ = 591962112. Its totient is φ = 85017600.

The previous prime is 231405311. The next prime is 231405329. The reversal of 231405328 is 823504132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 231405296 and 231405305.

It is not an unprimeable number, because it can be changed into a prime (231405329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2787975 + ... + 2788057.

Almost surely, 2231405328 is an apocalyptic number.

231405328 is a gapful number since it is divisible by the number (28) 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 231405328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295981056).

231405328 is an abundant number, since it is smaller than the sum of its proper divisors (360556784).

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

231405328 is a wasteful number, since it uses less digits than its factorization.

231405328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 231405328 is about 15212.0126216093. The cubic root of 231405328 is about 613.9379099504.

The spelling of 231405328 in words is "two hundred thirty-one million, four hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 73 77 83 88 112 124 146 154 166 176 217 248 292 308 332 341 434 496 511 581 584 616 664 682 803 868 913 1022 1162 1168 1232 1328 1364 1606 1736 1826 2044 2263 2324 2387 2573 2728 3212 3472 3652 4088 4526 4648 4774 5146 5456 5621 6059 6391 6424 7304 8176 9052 9296 9548 10292 11242 12118 12782 12848 14608 15841 18011 18104 19096 20584 22484 24236 24893 25564 28303 31682 36022 36208 38192 41168 42413 44968 48472 49786 51128 56606 63364 66649 72044 84826 89936 96944 99572 102256 113212 126728 133298 144088 169652 174251 187829 198121 199144 226424 253456 266596 288176 339304 348502 375658 396242 398288 452848 466543 533192 678608 697004 751316 792484 933086 1066384 1314803 1394008 1502632 1584968 1866172 2066119 2629606 2788016 3005264 3169936 3732344 4132238 5259212 7464688 8264476 10518424 14462833 16528952 21036848 28925666 33057904 57851332 115702664 231405328