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399329346 = 231319594567
BaseRepresentation
bin10111110011010…
…100100001000010
31000211102000212210
4113303110201002
51304212014341
6103343002550
712616146333
oct2763244102
91024360783
10399329346
11195458059
12b1899456
1364968270
143b06c28a
15250cec16
hex17cd4842

399329346 has 64 divisors (see below), whose sum is σ = 920908800. Its totient is φ = 114405696.

The previous prime is 399329341. The next prime is 399329369. The reversal of 399329346 is 643923993.

It is a happy number.

It is a super-3 number, since 3×3993293463 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 399329295 and 399329304.

It is not an unprimeable number, because it can be changed into a prime (399329341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85155 + ... + 89721.

It is an arithmetic number, because the mean of its divisors is an integer number (14389200).

Almost surely, 2399329346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399329346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460454400).

399329346 is an abundant number, since it is smaller than the sum of its proper divisors (521579454).

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

399329346 is a wasteful number, since it uses less digits than its factorization.

399329346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663.

The product of its digits is 944784, while the sum is 48.

The square root of 399329346 is about 19983.2266163400. The cubic root of 399329346 is about 736.3942842989.

The spelling of 399329346 in words is "three hundred ninety-nine million, three hundred twenty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 114 118 177 247 354 494 741 767 1121 1482 1534 2242 2301 3363 4567 4602 6726 9134 13701 14573 27402 29146 43719 59371 86773 87438 118742 173546 178113 260319 269453 356226 520638 538906 808359 1128049 1616718 2256098 3384147 3502889 5119607 6768294 7005778 10239214 10508667 15358821 21017334 30717642 66554891 133109782 199664673 399329346