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642432340 = 225116734339
BaseRepresentation
bin100110010010101…
…011110101010100
31122202211221111101
4212102223311110
52303430313330
6143425315444
721630404404
oct4622536524
91582757441
10642432340
112aa6aaa20
1215b195b84
13a31345a4
1461470804
153b6004ca
hex264abd54

642432340 has 48 divisors (see below), whose sum is σ = 1474280640. Its totient is φ = 233210880.

The previous prime is 642432337. The next prime is 642432347. The reversal of 642432340 is 43234246.

642432340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6424323402 = 825438622955751200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642432299 and 642432308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642432347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145891 + ... + 150229.

It is an arithmetic number, because the mean of its divisors is an integer number (30714180).

Almost surely, 2642432340 is an apocalyptic number.

It is an amenable number.

642432340 is an abundant number, since it is smaller than the sum of its proper divisors (831848300).

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

642432340 is a wasteful number, since it uses less digits than its factorization.

642432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 642432340 is about 25346.2490321546. The cubic root of 642432340 is about 862.8642287194.

Adding to 642432340 its reverse (43234246), we get a palindrome (685666586).

The spelling of 642432340 in words is "six hundred forty-two million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 673 1346 2692 3365 4339 6730 7403 8678 13460 14806 17356 21695 29612 37015 43390 47729 74030 86780 95458 148060 190916 238645 477290 954580 2920147 5840294 11680588 14600735 29201470 32121617 58402940 64243234 128486468 160608085 321216170 642432340