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434039952 = 24319475921
BaseRepresentation
bin11001110111101…
…110110010010000
31010020201111212210
4121313232302100
51342103234302
6111022552120
713520164413
oct3167566220
91106644783
10434039952
11203005705
12101438640
136bbcc398
1441905b7a
152818966c
hex19deec90

434039952 has 40 divisors (see below), whose sum is σ = 1180286560. Its totient is φ = 137064960.

The previous prime is 434039941. The next prime is 434039989. The reversal of 434039952 is 259930434.

It is a self number, because there is not a number n which added to its sum of digits gives 434039952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237049 + ... + 238872.

It is an arithmetic number, because the mean of its divisors is an integer number (29507164).

Almost surely, 2434039952 is an apocalyptic number.

It is an amenable number.

434039952 is an abundant number, since it is smaller than the sum of its proper divisors (746246608).

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

434039952 is a wasteful number, since it uses less digits than its factorization.

434039952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475951 (or 475945 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 434039952 is about 20833.6255126178. The cubic root of 434039952 is about 757.1406593301.

The spelling of 434039952 in words is "four hundred thirty-four million, thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 475921 951842 1427763 1903684 2855526 3807368 5711052 7614736 9042499 11422104 18084998 22844208 27127497 36169996 54254994 72339992 108509988 144679984 217019976 434039952