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235013352 = 23373793691
BaseRepresentation
bin11100000001000…
…00010011101000
3121101012220201020
432000200103220
5440130411402
635153052440
75552403060
oct1600402350
9541186636
10235013352
11110728012
1266857120
13398c6172
14232d83a0
15159738bc
hexe0204e8

235013352 has 64 divisors (see below), whose sum is σ = 673420800. Its totient is φ = 66951360.

The previous prime is 235013351. The next prime is 235013369. The reversal of 235013352 is 253310532.

It is a happy number.

235013352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (235013351) 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, 61827 + ... + 65517.

It is an arithmetic number, because the mean of its divisors is an integer number (10522200).

Almost surely, 2235013352 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 235013352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336710400).

235013352 is an abundant number, since it is smaller than the sum of its proper divisors (438407448).

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

235013352 is a wasteful number, since it uses less digits than its factorization.

235013352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 235013352 is about 15330.1452047918. The cubic root of 235013352 is about 617.1122663286.

Adding to 235013352 its reverse (253310532), we get a palindrome (488323884).

The spelling of 235013352 in words is "two hundred thirty-five million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 379 758 1137 1516 2274 2653 3032 3691 4548 5306 7382 7959 9096 10612 11073 14764 15918 21224 22146 25837 29528 31836 44292 51674 63672 77511 88584 103348 155022 206696 310044 620088 1398889 2797778 4196667 5595556 8393334 9792223 11191112 16786668 19584446 29376669 33573336 39168892 58753338 78337784 117506676 235013352