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3322343142 = 23643197269
BaseRepresentation
bin1100011000000110…
…1110111011100110
322120112120112000000
43012001232323212
523301004440032
61305401202130
7145221310416
oct30601567346
98515515000
103322343142
111455415638
12788790346
1340c406121
14237354646
15146a17e7c
hexc606eee6

3322343142 has 112 divisors (see below), whose sum is σ = 7712994960. Its totient is φ = 1072201536.

The previous prime is 3322343113. The next prime is 3322343179. The reversal of 3322343142 is 2413432233.

3322343142 is a `hidden beast` number, since 3 + 3 + 223 + 431 + 4 + 2 = 666.

It is a super-2 number, since 2×33223431422 = 22075927906388864328, which contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 12350584 + ... + 12350852.

Almost surely, 23322343142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322343142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856497480).

3322343142 is an abundant number, since it is smaller than the sum of its proper divisors (4390651818).

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

3322343142 is a wasteful number, since it uses less digits than its factorization.

3322343142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

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

The square root of 3322343142 is about 57639.7704887866. The cubic root of 3322343142 is about 1492.1580580755.

Adding to 3322343142 its reverse (2413432233), we get a palindrome (5735775375).

The spelling of 3322343142 in words is "three billion, three hundred twenty-two million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 197 243 258 269 387 394 486 538 591 729 774 807 1161 1182 1458 1614 1773 2322 2421 3483 3546 4842 5319 6966 7263 8471 10449 10638 11567 14526 15957 16942 20898 21789 23134 25413 31347 31914 34701 43578 47871 50826 52993 62694 65367 69402 76239 95742 104103 105986 130734 143613 152478 158979 196101 208206 228717 287226 312309 317958 392202 457434 476937 624618 686151 936927 953874 1372302 1430811 1873854 2058453 2278699 2810781 2861622 4116906 4292433 4557398 5621562 6175359 6836097 8432343 8584866 12350718 12877299 13672194 16864686 20508291 25754598 38631897 41016582 61524873 77263794 123049746 184574619 369149238 553723857 1107447714 1661171571 3322343142