Search a number
-
+
34048352 = 251381847
BaseRepresentation
bin1000000111100…
…0100101100000
32101001211120002
42001320211200
532204021402
63213435132
7562256222
oct201704540
971054502
1034048352
1118246038
12b49baa8
137091870
144744412
152ec8602
hex2078960

34048352 has 24 divisors (see below), whose sum is σ = 72189936. Its totient is φ = 15714432.

The previous prime is 34048337. The next prime is 34048367. The reversal of 34048352 is 25384043.

It is an interprime number because it is at equal distance from previous prime (34048337) and next prime (34048367).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40508 + ... + 41339.

It is an arithmetic number, because the mean of its divisors is an integer number (3007914).

Almost surely, 234048352 is an apocalyptic number.

34048352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34048352 is an abundant number, since it is smaller than the sum of its proper divisors (38141584).

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

34048352 is a wasteful number, since it uses less digits than its factorization.

34048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81870 (or 81862 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 34048352 is about 5835.0965716087. The cubic root of 34048352 is about 324.1146776906.

It can be divided in two parts, 3 and 4048352, that multiplied together give a triangular number (12145056 = T4928).

The spelling of 34048352 in words is "thirty-four million, forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 81847 163694 327388 654776 1064011 1309552 2128022 2619104 4256044 8512088 17024176 34048352