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335870136 = 233274671427
BaseRepresentation
bin10100000001001…
…111100010111000
3212101222222012200
4110001033202320
51141440321021
653154510200
711215564140
oct2401174270
9771888180
10335870136
11162654228
1294595360
1354779934
143286d920
151e747126
hex1404f8b8

335870136 has 96 divisors (see below), whose sum is σ = 1042554240. Its totient is φ = 95690304.

The previous prime is 335870113. The next prime is 335870137. The reversal of 335870136 is 631078533.

It is a super-2 number, since 2×3358701362 = 225617496513316992, which contains 22 as substring.

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 335870136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335870137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234655 + ... + 236081.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2335870136 is an apocalyptic number.

335870136 is a gapful number since it is divisible by the number (36) 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 335870136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521277120).

335870136 is an abundant number, since it is smaller than the sum of its proper divisors (706684104).

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

335870136 is a wasteful number, since it uses less digits than its factorization.

335870136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 335870136 is about 18326.7601064673. The cubic root of 335870136 is about 695.1157518159.

The spelling of 335870136 in words is "three hundred thirty-five million, eight hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1427 1868 2802 2854 3269 3736 4203 4281 5604 5708 6538 8406 8562 9807 9989 11208 11416 12843 13076 16812 17124 19614 19978 25686 26152 29421 29967 33624 34248 39228 39956 51372 58842 59934 78456 79912 89901 102744 117684 119868 179802 235368 239736 359604 666409 719208 1332818 1999227 2665636 3998454 4664863 5331272 5997681 7996908 9329726 11995362 13994589 15993816 18659452 23990724 27989178 37318904 41983767 47981448 55978356 83967534 111956712 167935068 335870136