Search a number
-
+
34442920 = 2351994327
BaseRepresentation
bin1000001101100…
…0111010101000
32101210212210201
42003120322220
532304133140
63230121544
7565521451
oct203307250
971725721
1034442920
1118495526
12b6502b4
13719c335
144808128
15305549a
hex20d8ea8

34442920 has 32 divisors (see below), whose sum is σ = 77904000. Its totient is φ = 13704768.

The previous prime is 34442917. The next prime is 34442921. The reversal of 34442920 is 2924443.

It is not an unprimeable number, because it can be changed into a prime (34442921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5797 + ... + 10123.

It is an arithmetic number, because the mean of its divisors is an integer number (2434500).

Almost surely, 234442920 is an apocalyptic number.

It is an amenable number.

34442920 is an abundant number, since it is smaller than the sum of its proper divisors (43461080).

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

34442920 is a wasteful number, since it uses less digits than its factorization.

34442920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34442920 is about 5868.8090785099. The cubic root of 34442920 is about 325.3618691190.

It can be divided in two parts, 344 and 42920, that added together give a square (43264 = 2082).

The spelling of 34442920 in words is "thirty-four million, four hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1592 1990 3980 4327 7960 8654 17308 21635 34616 43270 86540 173080 861073 1722146 3444292 4305365 6888584 8610730 17221460 34442920