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434972811 = 371331103499
BaseRepresentation
bin11001111011010…
…010100010001011
31010022110220112010
4121323102202023
51342323112221
6111054551003
713531131210
oct3173224213
91108426463
10434972811
11203592569
12101808463
136c167b80
1441aa9b07
15282c0c76
hex19ed288b

434972811 has 64 divisors (see below), whose sum is σ = 745472000. Its totient is φ = 219438720.

The previous prime is 434972801. The next prime is 434972843. The reversal of 434972811 is 118279434.

It is not a de Polignac number, because 434972811 - 213 = 434964619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 434972811.

It is not an unprimeable number, because it can be changed into a prime (434972801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 871440 + ... + 871938.

It is an arithmetic number, because the mean of its divisors is an integer number (11648000).

Almost surely, 2434972811 is an apocalyptic number.

434972811 is a deficient number, since it is larger than the sum of its proper divisors (310499189).

434972811 is a wasteful number, since it uses less digits than its factorization.

434972811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its digits is 48384, while the sum is 39.

The square root of 434972811 is about 20856.0017980437. The cubic root of 434972811 is about 757.6826985826.

The spelling of 434972811 in words is "four hundred thirty-four million, nine hundred seventy-two thousand, eight hundred eleven".

Divisors: 1 3 7 13 21 31 39 91 93 103 217 273 309 403 499 651 721 1209 1339 1497 2163 2821 3193 3493 4017 6487 8463 9373 9579 10479 15469 19461 22351 28119 41509 45409 46407 51397 67053 108283 124527 136227 154191 201097 290563 324849 359779 603291 668161 871689 1079337 1407679 1593307 2004483 4223037 4677127 4779921 11153149 14031381 20712991 33459447 62138973 144990937 434972811