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339707104 = 251153131139
BaseRepresentation
bin10100001111111…
…000010011100000
3212200012220112121
4110033320103200
51143431111404
653413034024
711263314502
oct2417702340
9780186477
10339707104
11164834a80
1295925914
13554c1229
143318bd72
151ec53e54
hex143f84e0

339707104 has 96 divisors (see below), whose sum is σ = 754427520. Its totient is φ = 149260800.

The previous prime is 339707077. The next prime is 339707149. The reversal of 339707104 is 401707933.

It is a self number, because there is not a number n which added to its sum of digits gives 339707104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2443867 + ... + 2444005.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2339707104 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 339707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377213760).

339707104 is an abundant number, since it is smaller than the sum of its proper divisors (414720416).

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

339707104 is a wasteful number, since it uses less digits than its factorization.

339707104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 339707104 is about 18431.1449454449. The cubic root of 339707104 is about 697.7527277968.

The spelling of 339707104 in words is "three hundred thirty-nine million, seven hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 131 139 176 212 262 278 352 424 524 556 583 848 1048 1112 1166 1441 1529 1696 2096 2224 2332 2882 3058 4192 4448 4664 5764 6116 6943 7367 9328 11528 12232 13886 14734 18209 18656 23056 24464 27772 29468 36418 46112 48928 55544 58936 72836 76373 81037 111088 117872 145672 152746 162074 200299 222176 235744 291344 305492 324148 400598 582688 610984 648296 801196 965077 1221968 1296592 1602392 1930154 2443936 2593184 3204784 3860308 6409568 7720616 10615847 15441232 21231694 30882464 42463388 84926776 169853552 339707104