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336400086 = 23112661701
BaseRepresentation
bin10100000011010…
…000111011010110
3212102222220011110
4110003100323112
51142104300321
653214115450
711223232161
oct2403207326
9772886143
10336400086
11162986400
12947abb86
1354903c09
143296aad8
151e7ee176
hex140d0ed6

336400086 has 48 divisors (see below), whose sum is σ = 741699504. Its totient is φ = 101640000.

The previous prime is 336400081. The next prime is 336400109. The reversal of 336400086 is 680004633.

It is a super-2 number, since 2×3364000862 = 226330035721614792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336400081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479536 + ... + 480236.

It is an arithmetic number, because the mean of its divisors is an integer number (15452073).

Almost surely, 2336400086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336400086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370849752).

336400086 is an abundant number, since it is smaller than the sum of its proper divisors (405299418).

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

336400086 is a wasteful number, since it uses less digits than its factorization.

336400086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 336400086 is about 18341.2127734237. The cubic root of 336400086 is about 695.4811539720.

The spelling of 336400086 in words is "three hundred thirty-six million, four hundred thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 661 701 726 1322 1402 1983 2103 3966 4206 7271 7711 14542 15422 21813 23133 43626 46266 79981 84821 159962 169642 239943 254463 463361 479886 508926 926722 1390083 2780166 5096971 10193942 15290913 30581826 56066681 112133362 168200043 336400086