Search a number
-
+
434376972 = 223311335593
BaseRepresentation
bin11001111001000…
…001000100001100
31010021100122012000
4121321001010030
51342200030342
6111034112300
713523100111
oct3171010414
91107318160
10434376972
11203215937
1210157b690
136bcb98c3
1441992908
152820444c
hex19e4110c

434376972 has 48 divisors (see below), whose sum is σ = 1136160480. Its totient is φ = 143506944.

The previous prime is 434376967. The next prime is 434377033. The reversal of 434376972 is 279673434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 30000.

It is an arithmetic number, because the mean of its divisors is an integer number (23670010).

Almost surely, 2434376972 is an apocalyptic number.

It is an amenable number.

434376972 is an abundant number, since it is smaller than the sum of its proper divisors (701783508).

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

434376972 is a wasteful number, since it uses less digits than its factorization.

434376972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35719 (or 35711 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 434376972 is about 20841.7123096928. The cubic root of 434376972 is about 757.3365748810.

The spelling of 434376972 in words is "four hundred thirty-four million, three hundred seventy-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 35593 71186 106779 142372 213558 320337 427116 640674 961011 1281348 1922022 3844044 4022009 8044018 12066027 16088036 24132054 36198081 48264108 72396162 108594243 144792324 217188486 434376972