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20349357 = 372172479
BaseRepresentation
bin100110110100…
…0000110101101
31102021212001220
41031220012231
520202134412
62004053553
7334652400
oct115500655
942255056
1020349357
1110539856
1269942b9
1342a6452
1429b9d37
151bbe68c
hex13681ad

20349357 has 36 divisors (see below), whose sum is σ = 33598080. Its totient is φ = 10921344.

The previous prime is 20349353. The next prime is 20349383. The reversal of 20349357 is 75394302.

It is a happy number.

It is not a de Polignac number, because 20349357 - 22 = 20349353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20349353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42244 + ... + 42722.

It is an arithmetic number, because the mean of its divisors is an integer number (933280).

Almost surely, 220349357 is an apocalyptic number.

It is an amenable number.

20349357 is a deficient number, since it is larger than the sum of its proper divisors (13248723).

20349357 is a wasteful number, since it uses less digits than its factorization.

20349357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 20349357 is about 4511.0261582039. The cubic root of 20349357 is about 273.0131486106.

It can be divided in two parts, 20349 and 357, that added together give a triangular number (20706 = T203).

The spelling of 20349357 in words is "twenty million, three hundred forty-nine thousand, three hundred fifty-seven".

Divisors: 1 3 7 17 21 49 51 119 147 289 357 479 833 867 1437 2023 2499 3353 6069 8143 10059 14161 23471 24429 42483 57001 70413 138431 171003 399007 415293 969017 1197021 2907051 6783119 20349357