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3405122232 = 2332914833299
BaseRepresentation
bin1100101011110110…
…0000101010111000
322210022100010120020
43022331200222320
523433202402412
61321515330440
7150245030031
oct31275405270
98708303506
103405122232
111498114806
127b0450a20
134235ca435
14244341a88
1514de1a18c
hexcaf60ab8

3405122232 has 64 divisors (see below), whose sum is σ = 8814960000. Its totient is φ = 1094830464.

The previous prime is 3405122207. The next prime is 3405122249. The reversal of 3405122232 is 2322215043.

3405122232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030519 + ... + 1033817.

It is an arithmetic number, because the mean of its divisors is an integer number (137733750).

Almost surely, 23405122232 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 3405122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407480000).

3405122232 is an abundant number, since it is smaller than the sum of its proper divisors (5409837768).

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

3405122232 is a wasteful number, since it uses less digits than its factorization.

3405122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3405122232 is about 58353.4251950989. The cubic root of 3405122232 is about 1504.4493420764.

Adding to 3405122232 its reverse (2322215043), we get a palindrome (5727337275).

The spelling of 3405122232 in words is "three billion, four hundred five million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1483 2966 3299 4449 5932 6598 8898 9897 11864 13196 17796 19794 26392 35592 39588 43007 79176 86014 95671 129021 172028 191342 258042 287013 344056 382684 516084 574026 765368 1032168 1148052 2296104 4892417 9784834 14677251 19569668 29354502 39139336 58709004 117418008 141880093 283760186 425640279 567520372 851280558 1135040744 1702561116 3405122232