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352363253 = 11229100417
BaseRepresentation
bin10101000000001…
…010001011110101
3220120000220111212
4111000022023311
51210201111003
654544211205
711506016054
oct2500121365
9816026455
10352363253
11170999800
129a009b05
1358002a88
1434b2439b
1520e03dd8
hex1500a2f5

352363253 has 12 divisors (see below), whose sum is σ = 400667820. Its totient is φ = 309281280.

The previous prime is 352363223. The next prime is 352363259.

It is a happy number.

352363253 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 88040689 + 264322564 = 9383^2 + 16258^2 .

It is not a de Polignac number, because 352363253 - 216 = 352297717 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 (352363259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46700 + ... + 53717.

It is an arithmetic number, because the mean of its divisors is an integer number (33388985).

Almost surely, 2352363253 is an apocalyptic number.

It is an amenable number.

352363253 is a deficient number, since it is larger than the sum of its proper divisors (48304567).

352363253 is a wasteful number, since it uses less digits than its factorization.

352363253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100468 (or 100457 counting only the distinct ones).

The product of its digits is 48600, while the sum is 32.

The square root of 352363253 is about 18771.3412680075. The cubic root of 352363253 is about 706.3124641753.

The spelling of 352363253 in words is "three hundred fifty-two million, three hundred sixty-three thousand, two hundred fifty-three".

Divisors: 1 11 29 121 319 3509 100417 1104587 2912093 12150457 32033023 352363253