Search a number
-
+
34924232 = 2371135519
BaseRepresentation
bin1000010100111…
…0011011001000
32102201100001002
42011032123020
532420033412
63244314132
7602564630
oct205163310
972640032
1034924232
1118794102
12b842948
13730a435
1448d16c0
1530ecdc2
hex214e6c8

34924232 has 32 divisors (see below), whose sum is σ = 75513600. Its totient is φ = 14832384.

The previous prime is 34924229. The next prime is 34924237. The reversal of 34924232 is 23242943.

It is a junction number, because it is equal to n+sod(n) for n = 34924195 and 34924204.

It is not an unprimeable number, because it can be changed into a prime (34924237) 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, 3569 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (2359800).

Almost surely, 234924232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34924232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756800).

34924232 is an abundant number, since it is smaller than the sum of its proper divisors (40589368).

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

34924232 is a wasteful number, since it uses less digits than its factorization.

34924232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5641 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 34924232 is about 5909.6727489769. The cubic root of 34924232 is about 326.8704203422.

The spelling of 34924232 in words is "thirty-four million, nine hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 3164 5519 6328 11038 22076 38633 44152 77266 154532 309064 623647 1247294 2494588 4365529 4989176 8731058 17462116 34924232