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339824664 = 233247137733
BaseRepresentation
bin10100010000010…
…101000000011000
3212200102212210200
4110100111000120
51143443342124
653415342200
711264314314
oct2420250030
9780385720
10339824664
11164905333
1295981960
13555328aa
14331bcb44
151ec78bc9
hex14415018

339824664 has 96 divisors (see below), whose sum is σ = 948093120. Its totient is φ = 109905408.

The previous prime is 339824647. The next prime is 339824669. The reversal of 339824664 is 466428933.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339824669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463242 + ... + 463974.

It is an arithmetic number, because the mean of its divisors is an integer number (9875970).

Almost surely, 2339824664 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 339824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474046560).

339824664 is an abundant number, since it is smaller than the sum of its proper divisors (608268456).

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

339824664 is a wasteful number, since it uses less digits than its factorization.

339824664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 339824664 is about 18434.3338366213. Note that the first 3 decimals coincide. The cubic root of 339824664 is about 697.8332072739.

The spelling of 339824664 in words is "three hundred thirty-nine million, eight hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 137 141 188 274 282 376 411 423 548 564 733 822 846 1096 1128 1233 1466 1644 1692 2199 2466 2932 3288 3384 4398 4932 5864 6439 6597 8796 9864 12878 13194 17592 19317 25756 26388 34451 38634 51512 52776 57951 68902 77268 100421 103353 115902 137804 154536 200842 206706 231804 275608 301263 310059 401684 413412 463608 602526 620118 803368 826824 903789 1205052 1240236 1807578 2410104 2480472 3615156 4719787 7230312 9439574 14159361 18879148 28318722 37758296 42478083 56637444 84956166 113274888 169912332 339824664