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3432401313 = 311231305021
BaseRepresentation
bin1100110010010110…
…0100100110100001
322212012200001102120
43030211210212201
524012143320223
61324332134453
7151025633625
oct31445444641
98765601376
103432401313
111501556a00
127b9607429
1342915bac3
14247c03185
15151507be3
hexcc9649a1

3432401313 has 24 divisors (see below), whose sum is σ = 5192694528. Its totient is φ = 2013132000.

The previous prime is 3432401309. The next prime is 3432401321. The reversal of 3432401313 is 3131042343.

It is not a de Polignac number, because 3432401313 - 22 = 3432401309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3432401333) 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, 141258 + ... + 163763.

It is an arithmetic number, because the mean of its divisors is an integer number (216362272).

Almost surely, 23432401313 is an apocalyptic number.

3432401313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3432401313 is a deficient number, since it is larger than the sum of its proper divisors (1760293215).

3432401313 is a wasteful number, since it uses less digits than its factorization.

3432401313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305077 (or 305066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3432401313 is about 58586.6991133653. The cubic root of 3432401313 is about 1508.4561377976.

Adding to 3432401313 its reverse (3131042343), we get a palindrome (6563443656).

The spelling of 3432401313 in words is "three billion, four hundred thirty-two million, four hundred one thousand, three hundred thirteen".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 305021 915063 3355231 9455651 10065693 28366953 36907541 104012161 110722623 312036483 1144133771 3432401313