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342441333432 = 233211432375421
BaseRepresentation
bin1001111101110110001…
…10000001001010111000
31012201220022210011010100
410332323012001022320
521102304440132212
6421152042115400
733512005210332
oct4767306011270
91181808704110
10342441333432
11122257229280
125644aaabb60
13263a490c563
1412807a4c452
158d93683bdc
hex4fbb1812b8

342441333432 has 48 divisors (see below), whose sum is σ = 1011758487480. Its totient is φ = 103770100800.

The previous prime is 342441333431. The next prime is 342441333457. The reversal of 342441333432 is 234333144243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342441333431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216186919 + ... + 216188502.

Almost surely, 2342441333432 is an apocalyptic number.

It is an amenable number.

342441333432 is an abundant number, since it is smaller than the sum of its proper divisors (669317154048).

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

342441333432 is a wasteful number, since it uses less digits than its factorization.

342441333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432375444 (or 432375437 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 342441333432 its reverse (234333144243), we get a palindrome (576774477675).

The spelling of 342441333432 in words is "three hundred forty-two billion, four hundred forty-one million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 432375421 864750842 1297126263 1729501684 2594252526 3459003368 3891378789 4756129631 5188505052 7782757578 9512259262 10377010104 14268388893 15565515156 19024518524 28536777786 31131030312 38049037048 42805166679 57073555572 85610333358 114147111144 171220666716 342441333432