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3342312234 = 234172941849
BaseRepresentation
bin1100011100110111…
…1010001100101010
322121221011001110000
43013031322030222
523321112442414
61311353203430
7145553120352
oct30715721452
98557131400
103342312234
111465714718
12793400576
134135a8461
14239c71b62
1514865eb09
hexc737a32a

3342312234 has 80 divisors (see below), whose sum is σ = 8203437000. Its totient is φ = 1012386816.

The previous prime is 3342312221. The next prime is 3342312277. The reversal of 3342312234 is 4322132433.

3342312234 is a `hidden beast` number, since 3 + 3 + 423 + 1 + 2 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3333330225 + 8982009 = 57735^2 + 2997^2 .

It is a super-2 number, since 2×33423122342 = 22342102139092141512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3342312198 and 3342312207.

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 39 ways as a sum of consecutive naturals, for example, 58942 + ... + 100790.

Almost surely, 23342312234 is an apocalyptic number.

3342312234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342312234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101718500).

3342312234 is an abundant number, since it is smaller than the sum of its proper divisors (4861124766).

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

3342312234 is a wasteful number, since it uses less digits than its factorization.

3342312234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41909 (or 41900 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3342312234 is about 57812.7341854716. The cubic root of 3342312234 is about 1495.1416492743.

Adding to 3342312234 its reverse (4322132433), we get a palindrome (7664444667).

The spelling of 3342312234 in words is "three billion, three hundred forty-two million, three hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 261 306 459 493 522 783 918 986 1377 1479 1566 2349 2754 2958 4437 4698 8874 13311 26622 39933 41849 79866 83698 125547 251094 376641 711433 753282 1129923 1213621 1422866 2134299 2259846 2427242 3389769 3640863 4268598 6402897 6779538 7281726 10922589 12805794 19208691 20631557 21845178 32767767 38417382 41263114 57626073 61894671 65535534 98303301 115252146 123789342 185684013 196606602 371368026 557052039 1114104078 1671156117 3342312234