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34434204 = 2237795189
BaseRepresentation
bin1000001101011…
…0110010011100
32101210102211220
42003112302130
532303343304
63230013340
7565454160
oct203266234
971712756
1034434204
1118489a22
12b647250
13719838c
144804ca0
153052ad9
hex20d6c9c

34434204 has 48 divisors (see below), whose sum is σ = 93004800. Its totient is φ = 9711936.

The previous prime is 34434199. The next prime is 34434217. The reversal of 34434204 is 40243443.

It is a happy number.

It is a super-2 number, since 2×344342042 = 2371428810227232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (1937600).

Almost surely, 234434204 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 34434204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502400).

34434204 is an abundant number, since it is smaller than the sum of its proper divisors (58570596).

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

34434204 is a wasteful number, since it uses less digits than its factorization.

34434204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34434204 is about 5868.0664617913. The cubic root of 34434204 is about 325.3344218401.

Adding to 34434204 its reverse (40243443), we get a palindrome (74677647).

The spelling of 34434204 in words is "thirty-four million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 5189 6636 10378 15567 20756 31134 36323 62268 72646 108969 145292 217938 409931 435876 819862 1229793 1639724 2459586 2869517 4919172 5739034 8608551 11478068 17217102 34434204