Search a number
-
+
34077204 = 22327294663
BaseRepresentation
bin1000000111111…
…1101000010100
32101010022010200
42001333220110
532210432304
63214220500
7562436310
oct201775024
971108120
1034077204
1118265787
12b4b4730
1370a1a35
144750b40
152ed1e39
hex207fa14

34077204 has 72 divisors (see below), whose sum is σ = 101861760. Its totient is φ = 9398592.

The previous prime is 34077193. The next prime is 34077221. The reversal of 34077204 is 40277043.

It is a super-2 number, since 2×340772042 = 2322511664915232, 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 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 9639.

Almost surely, 234077204 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 34077204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50930880).

34077204 is an abundant number, since it is smaller than the sum of its proper divisors (67784556).

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

34077204 is a wasteful number, since it uses less digits than its factorization.

34077204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 34077204 is about 5837.5683293645. The cubic root of 34077204 is about 324.2062016164.

The spelling of 34077204 in words is "thirty-four million, seventy-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 4663 7308 9326 13989 18652 27978 32641 41967 55956 65282 83934 97923 130564 135227 167868 195846 270454 293769 391692 405681 540908 587538 811362 946589 1175076 1217043 1622724 1893178 2434086 2839767 3786356 4868172 5679534 8519301 11359068 17038602 34077204