Search a number
-
+
431353134 = 23329275449
BaseRepresentation
bin11001101101011…
…110110100101110
31010001200000021000
4121231132310232
51340411300014
6110445221130
713455304212
oct3155366456
91101600230
10431353134
1120153aaa3
121005617a6
136b49b454
1441406942
1527d08509
hex19b5ed2e

431353134 has 32 divisors (see below), whose sum is σ = 991620000. Its totient is φ = 138825792.

The previous prime is 431353129. The next prime is 431353159.

431353134 is nontrivially palindromic in base 10.

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 = 431353098 and 431353107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136159 + ... + 139290.

It is an arithmetic number, because the mean of its divisors is an integer number (30988125).

Almost surely, 2431353134 is an apocalyptic number.

431353134 is an abundant number, since it is smaller than the sum of its proper divisors (560266866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431353134 is a wasteful number, since it uses less digits than its factorization.

431353134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275489 (or 275483 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 431353134 is about 20769.0426837637. The cubic root of 431353134 is about 755.5751265964.

The spelling of 431353134 in words is "four hundred thirty-one million, three hundred fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 275449 550898 826347 1652694 2479041 4958082 7437123 7988021 14874246 15976042 23964063 47928126 71892189 143784378 215676567 431353134