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339374016 = 2633238539
BaseRepresentation
bin10100001110100…
…110111111000000
3212122120222122000
4110032212333000
51143334432031
653401544000
711260426422
oct2416467700
9778528560
10339374016
111646277a3
12957a5000
1355405737
1433102812
151ebda3e6
hex143a6fc0

339374016 has 112 divisors (see below), whose sum is σ = 1041196800. Its totient is φ = 108193536.

The previous prime is 339374011. The next prime is 339374041. The reversal of 339374016 is 610473933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339374011) 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, 35475 + ... + 44013.

It is an arithmetic number, because the mean of its divisors is an integer number (9296400).

Almost surely, 2339374016 is an apocalyptic number.

339374016 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 339374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520598400).

339374016 is an abundant number, since it is smaller than the sum of its proper divisors (701822784).

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

339374016 is a wasteful number, since it uses less digits than its factorization.

339374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 339374016 is about 18422.1067199167. The cubic root of 339374016 is about 697.5246008204.

The spelling of 339374016 in words is "three hundred thirty-nine million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 8539 9936 13248 17078 19872 25617 34156 39744 51234 68312 76851 102468 136624 153702 196397 204936 230553 273248 307404 392794 409872 461106 546496 589191 614808 785588 819744 922212 1178382 1229616 1571176 1639488 1767573 1844424 2356764 2459232 3142352 3535146 3688848 4713528 4918464 5302719 6284704 7070292 7377696 9427056 10605438 12569408 14140584 14755392 18854112 21210876 28281168 37708224 42421752 56562336 84843504 113124672 169687008 339374016