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339349842 = 2321319127601
BaseRepresentation
bin10100001110100…
…001000101010010
3212122112202110200
4110032201011102
51143333143332
653401240030
711260266066
oct2416410522
9778482420
10339349842
11164610617
1295793016
13553c7730
14330d7aa6
151ebd317c
hex143a1152

339349842 has 96 divisors (see below), whose sum is σ = 841451520. Its totient is φ = 97977600.

The previous prime is 339349837. The next prime is 339349847. The reversal of 339349842 is 248943933.

339349842 is a `hidden beast` number, since 33 + 93 + 498 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (339349837) and next prime (339349847).

Its product of digits (559872) is a multiple of the sum of its prime factors (768).

It is not an unprimeable number, because it can be changed into a prime (339349847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564342 + ... + 564942.

It is an arithmetic number, because the mean of its divisors is an integer number (8765120).

Almost surely, 2339349842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339349842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420725760).

339349842 is an abundant number, since it is smaller than the sum of its proper divisors (502101678).

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

339349842 is a wasteful number, since it uses less digits than its factorization.

339349842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 339349842 is about 18421.4505943479. The cubic root of 339349842 is about 697.5080386016.

It can be divided in two parts, 3393 and 49842, that added together give a palindrome (53235).

The spelling of 339349842 in words is "three hundred thirty-nine million, three hundred forty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 127 171 234 247 254 342 381 494 601 741 762 1143 1202 1482 1651 1803 2223 2286 2413 3302 3606 4446 4826 4953 5409 7239 7813 9906 10818 11419 14478 14859 15626 21717 22838 23439 29718 31369 34257 43434 46878 62738 68514 70317 76327 94107 102771 140634 148447 152654 188214 205542 228981 282321 296894 445341 457962 564642 686943 890682 992251 1336023 1373886 1450213 1984502 2672046 2900426 2976753 4350639 5953506 8701278 8930259 13051917 17860518 18852769 26103834 37705538 56558307 113116614 169674921 339349842