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339287104 = 2613319127
BaseRepresentation
bin10100001110010…
…001110001000000
3212122102120102001
4110032101301000
51143324141404
653400033344
711256615142
oct2416216100
9778376361
10339287104
11164578472
1295762854
13553a5000
14330bcc92
151ebbe7a4
hex14391c40

339287104 has 112 divisors (see below), whose sum is σ = 773785600. Its totient is φ = 147184128.

The previous prime is 339287101. The next prime is 339287107. The reversal of 339287104 is 401782933.

It is an interprime number because it is at equal distance from previous prime (339287101) and next prime (339287107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339287101) 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, 2671489 + ... + 2671615.

It is an arithmetic number, because the mean of its divisors is an integer number (6908800).

Almost surely, 2339287104 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 339287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386892800).

339287104 is an abundant number, since it is smaller than the sum of its proper divisors (434498496).

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

339287104 is a wasteful number, since it uses less digits than its factorization.

339287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 339287104 is about 18419.7476638525. The cubic root of 339287104 is about 697.4650515413.

The spelling of 339287104 in words is "three hundred thirty-nine million, two hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 127 152 169 208 247 254 304 338 416 494 508 608 676 832 988 1016 1216 1352 1651 1976 2032 2197 2413 2704 3211 3302 3952 4064 4394 4826 5408 6422 6604 7904 8128 8788 9652 10816 12844 13208 15808 17576 19304 21463 25688 26416 31369 35152 38608 41743 42926 51376 52832 62738 70304 77216 83486 85852 102752 105664 125476 140608 154432 166972 171704 205504 250952 279019 333944 343408 407797 501904 558038 667888 686816 815594 1003808 1116076 1335776 1373632 1631188 2007616 2232152 2671552 3262376 4464304 5301361 6524752 8928608 10602722 13049504 17857216 21205444 26099008 42410888 84821776 169643552 339287104