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336379408 = 24171577877
BaseRepresentation
bin10100000011001…
…011111000010000
3212102221211210121
4110003023320100
51142103120113
653213440024
711223114661
oct2403137020
9772854717
10336379408
11162971912
12947a0014
13548c7691
1432963368
151e7e7e8d
hex140cbe10

336379408 has 40 divisors (see below), whose sum is σ = 694555992. Its totient is φ = 157267968.

The previous prime is 336379403. The next prime is 336379409. The reversal of 336379408 is 804973633.

It can be written as a sum of positive squares in 4 ways, for example, as 19254544 + 317124864 = 4388^2 + 17808^2 .

It is a super-2 number, since 2×3363794082 = 226302212252860928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336379403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38766 + ... + 46642.

Almost surely, 2336379408 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 336379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347277996).

336379408 is an abundant number, since it is smaller than the sum of its proper divisors (358176584).

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

336379408 is a wasteful number, since it uses less digits than its factorization.

336379408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 336379408 is about 18340.6490615790. The cubic root of 336379408 is about 695.4669036249.

The spelling of 336379408 in words is "three hundred thirty-six million, three hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 7877 10676 15754 21352 31508 42704 63016 126032 133909 267818 535636 1071272 1236689 2142544 2473378 4946756 9893512 19787024 21023713 42047426 84094852 168189704 336379408