Search a number
-
+
402434964 = 223267166847
BaseRepresentation
bin10111111111001…
…010101110010100
31001001020210222200
4113333022232110
51311010404324
6103533324500
712654432531
oct2777125624
91031223880
10402434964
11197189388
12b2936730
13654b49c9
143b639d88
15254e4ec9
hex17fcab94

402434964 has 36 divisors (see below), whose sum is σ = 1032455424. Its totient is φ = 132142032.

The previous prime is 402434959. The next prime is 402434969. The reversal of 402434964 is 469434204.

It is an interprime number because it is at equal distance from previous prime (402434959) and next prime (402434969).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402434969) 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, 81012 + ... + 85835.

Almost surely, 2402434964 is an apocalyptic number.

It is an amenable number.

402434964 is an abundant number, since it is smaller than the sum of its proper divisors (630020460).

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

402434964 is a wasteful number, since it uses less digits than its factorization.

402434964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166924 (or 166919 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 402434964 is about 20060.7817395036. The cubic root of 402434964 is about 738.2983569023.

The spelling of 402434964 in words is "four hundred two million, four hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 166847 333694 500541 667388 1001082 1501623 2002164 3003246 6006492 11178749 22357498 33536247 44714996 67072494 100608741 134144988 201217482 402434964