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339969312 = 2534314231
BaseRepresentation
bin10100010000111…
…000010100100000
3212200201020020000
4110100320110200
51144013004222
653422420000
711265456114
oct2420702440
9780636200
10339969312
111649a3a81
1295a31600
1355583697
1433219744
151eca69ac
hex14438520

339969312 has 120 divisors (see below), whose sum is σ = 1032337152. Its totient is φ = 109641600.

The previous prime is 339969257. The next prime is 339969313. The reversal of 339969312 is 213969933.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (339969313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78237 + ... + 82467.

Almost surely, 2339969312 is an apocalyptic number.

339969312 is a gapful number since it is divisible by the number (32) 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 339969312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516168576).

339969312 is an abundant number, since it is smaller than the sum of its proper divisors (692367840).

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

339969312 is a wasteful number, since it uses less digits than its factorization.

339969312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4267 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 339969312 is about 18438.2567505716. The cubic root of 339969312 is about 697.9322052474.

The spelling of 339969312 in words is "three hundred thirty-nine million, nine hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4231 4464 5022 6696 8462 8928 10044 12693 13392 16924 20088 25386 26784 33848 38079 40176 50772 67696 76158 80352 101544 114237 131161 135392 152316 203088 228474 262322 304632 342711 393483 406176 456948 524644 609264 685422 786966 913896 1049288 1180449 1218528 1370844 1573932 1827792 2098576 2360898 2741688 3147864 3541347 3655584 4197152 4721796 5483376 6295728 7082694 9443592 10624041 10966752 12591456 14165388 18887184 21248082 28330776 37774368 42496164 56661552 84992328 113323104 169984656 339969312