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342799213824 = 2832456132621
BaseRepresentation
bin1001111110100000110…
…11001110010100000000
31012202211021012100201200
410333100123032110000
521104023044320244
6421251344501200
733523612145364
oct4772033162400
91182737170650
10342799213824
111224202460a1
125652a91a800
1326430ac45c2
141283d3ab2a4
158db4cc7669
hex4fd06ce500

342799213824 has 108 divisors (see below), whose sum is σ = 988621649652. Its totient is φ = 114237849600.

The previous prime is 342799213807. The next prime is 342799213849. The reversal of 342799213824 is 428312997243.

It is a happy number.

342799213824 is a `hidden beast` number, since 342 + 7 + 9 + 9 + 213 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159066964224 + 183732249600 = 398832^2 + 428640^2 .

It is a super-2 number, since 2×3427992138242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10492234 + ... + 10524854.

Almost surely, 2342799213824 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 342799213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494310824826).

342799213824 is an abundant number, since it is smaller than the sum of its proper divisors (645822435828).

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

342799213824 is a wasteful number, since it uses less digits than its factorization.

342799213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37204 (or 37187 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 342799213824 in words is "three hundred forty-two billion, seven hundred ninety-nine million, two hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4561 9122 13683 18244 27366 32621 36488 41049 54732 65242 72976 82098 97863 109464 130484 145952 164196 195726 218928 260968 291904 293589 328392 391452 437856 521936 583808 587178 656784 782904 875712 1043872 1167616 1174356 1313568 1565808 1751424 2087744 2348712 2627136 3131616 3502848 4175488 4697424 5254272 6263232 8350976 9394848 10508544 12526464 18789696 25052928 37579392 75158784 148784381 297568762 446353143 595137524 892706286 1190275048 1339059429 1785412572 2380550096 2678118858 3570825144 4761100192 5356237716 7141650288 9522200384 10712475432 14283300576 19044400768 21424950864 28566601152 38088801536 42849901728 57133202304 85699803456 114266404608 171399606912 342799213824