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338987964 = 223717323327
BaseRepresentation
bin10100001101001…
…000101110111100
3212121212101001210
4110031020232330
51143240103324
653345404420
711254231050
oct2415105674
9777771053
10338987964
11164393747
1295639710
13552cbac3
1433041c60
151eb60d29
hex14348bbc

338987964 has 48 divisors (see below), whose sum is σ = 909232128. Its totient is φ = 96289728.

The previous prime is 338987951. The next prime is 338987977. The reversal of 338987964 is 469789833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338987951) and next prime (338987977).

It is a super-2 number, since 2×3389879642 = 229825679473730592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869 + ... + 26195.

It is an arithmetic number, because the mean of its divisors is an integer number (18942336).

Almost surely, 2338987964 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 338987964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454616064).

338987964 is an abundant number, since it is smaller than the sum of its proper divisors (570244164).

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

338987964 is a wasteful number, since it uses less digits than its factorization.

338987964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23514 (or 23512 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 338987964 is about 18411.6257837270. The cubic root of 338987964 is about 697.2600127601.

The spelling of 338987964 in words is "three hundred thirty-eight million, nine hundred eighty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 14532 23327 46654 69981 93308 139962 163289 279924 326578 489867 653156 979734 1959468 4035571 8071142 12106713 16142284 24213426 28248997 48426852 56497994 84746991 112995988 169493982 338987964