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434995512 = 23378812939
BaseRepresentation
bin11001111011011…
…000000100111000
31010022112001122220
4121323120010320
51342324324022
6111055244040
713531254330
oct3173300470
91108461586
10434995512
112035a8626
12101819620
136c1752c3
1441ab40c0
15282c785c
hex19ed8138

434995512 has 64 divisors (see below), whose sum is σ = 1244678400. Its totient is φ = 124101120.

The previous prime is 434995501. The next prime is 434995529. The reversal of 434995512 is 215599434.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 146539 + ... + 149477.

It is an arithmetic number, because the mean of its divisors is an integer number (19448100).

Almost surely, 2434995512 is an apocalyptic number.

434995512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434995512 is an abundant number, since it is smaller than the sum of its proper divisors (809682888).

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

434995512 is a wasteful number, since it uses less digits than its factorization.

434995512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3832 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 434995512 is about 20856.5460227718. The cubic root of 434995512 is about 757.6958793725.

The spelling of 434995512 in words is "four hundred thirty-four million, nine hundred ninety-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 881 1762 2643 2939 3524 5286 5878 6167 7048 8817 10572 11756 12334 17634 18501 20573 21144 23512 24668 35268 37002 41146 49336 61719 70536 74004 82292 123438 148008 164584 246876 493752 2589259 5178518 7767777 10357036 15535554 18124813 20714072 31071108 36249626 54374439 62142216 72499252 108748878 144998504 217497756 434995512