Search a number
-
+
34432956 = 22321756263
BaseRepresentation
bin1000001101011…
…0011110111100
32101210101010200
42003112132330
532303323311
63230003500
7565450425
oct203263674
971711120
1034432956
1118488a98
12b646590
13719793c
14480464c
153052556
hex20d67bc

34432956 has 36 divisors (see below), whose sum is σ = 92160432. Its totient is φ = 10802304.

The previous prime is 34432927. The next prime is 34432961. The reversal of 34432956 is 65923443.

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 self number, because there is not a number n which added to its sum of digits gives 34432956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27520 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (2560012).

Almost surely, 234432956 is an apocalyptic number.

34432956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34432956 is an abundant number, since it is smaller than the sum of its proper divisors (57727476).

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

34432956 is a wasteful number, since it uses less digits than its factorization.

34432956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56290 (or 56285 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 34432956 is about 5867.9601225639. The cubic root of 34432956 is about 325.3304914239.

The spelling of 34432956 in words is "thirty-four million, four hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 56263 112526 168789 225052 337578 506367 675156 956471 1012734 1912942 2025468 2869413 3825884 5738826 8608239 11477652 17216478 34432956