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370742409 = 32172983557
BaseRepresentation
bin10110000110010…
…001010010001001
3221211121122222100
4112012101102021
51224402224114
6100442144013
712121154442
oct2606212211
9854548870
10370742409
11180302294
12a41b2009
135ba6950b
143734a2c9
1522834909
hex16191489

370742409 has 24 divisors (see below), whose sum is σ = 586577160. Its totient is φ = 224598528.

The previous prime is 370742401. The next prime is 370742419. The reversal of 370742409 is 904247073.

It can be written as a sum of positive squares in 4 ways, for example, as 236298384 + 134444025 = 15372^2 + 11595^2 .

It is not a de Polignac number, because 370742409 - 23 = 370742401 is a prime.

It is a super-2 number, since 2×3707424092 = 274899867662246562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (370742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37342 + ... + 46215.

It is an arithmetic number, because the mean of its divisors is an integer number (24440715).

Almost surely, 2370742409 is an apocalyptic number.

It is an amenable number.

370742409 is a deficient number, since it is larger than the sum of its proper divisors (215834751).

370742409 is a wasteful number, since it uses less digits than its factorization.

370742409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83609 (or 83606 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 370742409 is about 19254.6723939931. The cubic root of 370742409 is about 718.3852760868.

The spelling of 370742409 in words is "three hundred seventy million, seven hundred forty-two thousand, four hundred nine".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 83557 250671 752013 1420469 2423153 4261407 7269459 12784221 21808377 41193601 123580803 370742409