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233460396 = 22321323341
BaseRepresentation
bin11011110101001…
…01001010101100
3121021022000110100
431322211022230
5434231213041
635055511100
75533244361
oct1572451254
9537260410
10233460396
1110a867284
1266228490
13394a1360
1423012468
15157686b6
hexdea52ac

233460396 has 144 divisors (see below), whose sum is σ = 680621760. Its totient is φ = 67034880.

The previous prime is 233460379. The next prime is 233460431. The reversal of 233460396 is 693064332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 233460396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694136 + ... + 5694176.

It is an arithmetic number, because the mean of its divisors is an integer number (4726540).

Almost surely, 2233460396 is an apocalyptic number.

233460396 is a gapful number since it is divisible by the number (26) 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 233460396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340310880).

233460396 is an abundant number, since it is smaller than the sum of its proper divisors (447161364).

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

233460396 is a wasteful number, since it uses less digits than its factorization.

233460396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 233460396 is about 15279.4108525165. The cubic root of 233460396 is about 615.7499793534.

The spelling of 233460396 in words is "two hundred thirty-three million, four hundred sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 529 533 598 738 828 897 943 1058 1066 1196 1476 1587 1599 1794 1886 2116 2132 2691 2829 3174 3198 3588 3772 4761 4797 5382 5658 6348 6396 6877 8487 9522 9594 10764 11316 12167 12259 13754 16974 19044 19188 20631 21689 24334 24518 27508 33948 36501 36777 41262 43378 48668 49036 61893 65067 73002 73554 82524 86756 109503 110331 123786 130134 146004 147108 158171 195201 219006 220662 247572 260268 281957 316342 390402 438012 441324 474513 498847 563914 632684 780804 845871 949026 997694 1127828 1423539 1496541 1691742 1898052 1995388 2537613 2847078 2993082 3383484 4489623 5075226 5694156 5986164 6485011 8979246 10150452 12970022 17958492 19455033 25940044 38910066 58365099 77820132 116730198 233460396