[go: up one dir, main page]

Search a number
-
+
764101431 = 34175231061
BaseRepresentation
bin101101100010110…
…100001100110111
31222020210101010000
4231202310030313
53031102221211
6203453202343
724635516652
oct5542641467
91866711100
10764101431
11362351795
12193a903b3
13c23c4132
14736a2899
1547135656
hex2d8b4337

764101431 has 40 divisors (see below), whose sum is σ = 1212030864. Its totient is φ = 478068480.

The previous prime is 764101427. The next prime is 764101441. The reversal of 764101431 is 134101467.

It is a happy number.

764101431 is a `hidden beast` number, since 7 + 641 + 0 + 14 + 3 + 1 = 666.

It is not a de Polignac number, because 764101431 - 22 = 764101427 is a prime.

It is a super-2 number, since 2×7641014312 = 1167701993712495522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 764101395 and 764101404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764101441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 719641 + ... + 720701.

Almost surely, 2764101431 is an apocalyptic number.

764101431 is a deficient number, since it is larger than the sum of its proper divisors (447929433).

764101431 is a wasteful number, since it uses less digits than its factorization.

764101431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 764101431 is about 27642.3846836701. The cubic root of 764101431 is about 914.2191995336.

Adding to 764101431 its reverse (134101467), we get a palindrome (898202898).

It can be divided in two parts, 76410 and 1431, that added together give a square (77841 = 2792).

The spelling of 764101431 in words is "seven hundred sixty-four million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 459 523 1061 1377 1569 3183 4707 8891 9549 14121 18037 26673 28647 42363 54111 80019 85941 162333 240057 486999 554903 720171 1460997 1664709 4994127 9433351 14982381 28300053 44947143 84900159 254700477 764101431