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3442552345 = 51131571972
BaseRepresentation
bin1100110100110001…
…0010111000011001
322212220202210000201
43031030102320121
524022243133340
61325333502201
7151211132521
oct31514227031
98786683021
103442552345
11150725a591
12800aa1961
1342b2a432b
142492c6681
1515236079a
hexcd312e19

3442552345 has 24 divisors (see below), whose sum is σ = 4215564504. Its totient is φ = 2698515456.

The previous prime is 3442552327. The next prime is 3442552349. The reversal of 3442552345 is 5432552443.

It can be written as a sum of positive squares in 12 ways, for example, as 216766729 + 3225785616 = 14723^2 + 56796^2 .

It is not a de Polignac number, because 3442552345 - 25 = 3442552313 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442552349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17474787 + ... + 17474983.

It is an arithmetic number, because the mean of its divisors is an integer number (175648521).

Almost surely, 23442552345 is an apocalyptic number.

It is an amenable number.

3442552345 is a deficient number, since it is larger than the sum of its proper divisors (773012159).

3442552345 is a wasteful number, since it uses less digits than its factorization.

3442552345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 472 counting only the distinct ones).

The product of its digits is 288000, while the sum is 37.

The square root of 3442552345 is about 58673.2677204875. The cubic root of 3442552345 is about 1509.9417174119.

The spelling of 3442552345 in words is "three billion, four hundred forty-two million, five hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 5 113 157 197 565 785 985 17741 22261 30929 38809 88705 111305 154645 194045 3494977 4385417 6093013 17474885 21927085 30465065 688510469 3442552345