Search a number
-
+
34399104 = 273293089
BaseRepresentation
bin1000001100111…
…0001110000000
32101201122200220
42003032032000
532301232404
63225143040
7565246635
oct203161600
971648626
1034399104
1118465613
12b62aa80
1371853cc
1447d618c
1530474d9
hex20ce380

34399104 has 64 divisors (see below), whose sum is σ = 94554000. Its totient is φ = 11067392.

The previous prime is 34399087. The next prime is 34399111. The reversal of 34399104 is 40199343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9592 + ... + 12680.

Almost surely, 234399104 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 34399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47277000).

34399104 is an abundant number, since it is smaller than the sum of its proper divisors (60154896).

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

34399104 is a wasteful number, since it uses less digits than its factorization.

34399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34399104 is about 5865.0749355827. The cubic root of 34399104 is about 325.2238426379.

The spelling of 34399104 in words is "thirty-four million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3089 3712 5568 6178 9267 11136 12356 18534 24712 37068 49424 74136 89581 98848 148272 179162 197696 268743 296544 358324 395392 537486 593088 716648 1074972 1186176 1433296 2149944 2866592 4299888 5733184 8599776 11466368 17199552 34399104