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339390464 = 212721989
BaseRepresentation
bin10100001110101…
…011000000000000
3212122121211012012
4110032223000000
51143340443324
653402152052
711260525400
oct2416530000
9778554165
10339390464
11164639096
12957b2628
135541007a
1433108800
151ebe020e
hex143ab000

339390464 has 156 divisors (see below), whose sum is σ = 840396600. Its totient is φ = 136249344.

The previous prime is 339390439. The next prime is 339390481. The reversal of 339390464 is 464093933.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3813332 + ... + 3813420.

Almost surely, 2339390464 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 339390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420198300).

339390464 is an abundant number, since it is smaller than the sum of its proper divisors (501006136).

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

339390464 is an equidigital number, since it uses as much as digits as its factorization.

339390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 41.

The square root of 339390464 is about 18422.5531346771. The cubic root of 339390464 is about 697.5358693115.

The spelling of 339390464 in words is "three hundred thirty-nine million, three hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 89 98 112 128 133 152 178 196 224 256 266 304 356 392 448 512 532 608 623 712 784 896 931 1024 1064 1216 1246 1424 1568 1691 1792 1862 2048 2128 2432 2492 2848 3136 3382 3584 3724 4096 4256 4361 4864 4984 5696 6272 6764 7168 7448 8512 8722 9728 9968 11392 11837 12544 13528 14336 14896 17024 17444 19456 19936 22784 23674 25088 27056 28672 29792 34048 34888 38912 39872 45568 47348 50176 54112 59584 68096 69776 77824 79744 82859 91136 94696 100352 108224 119168 136192 139552 159488 165718 182272 189392 200704 216448 238336 272384 279104 318976 331436 364544 378784 432896 476672 544768 558208 637952 662872 757568 865792 953344 1116416 1275904 1325744 1515136 1731584 1906688 2232832 2551808 2651488 3030272 3463168 3813376 4465664 5302976 6060544 6926336 8931328 10605952 12121088 17862656 21211904 24242176 42423808 48484352 84847616 169695232 339390464