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34212204 = 223213411783
BaseRepresentation
bin1000001010000…
…0100101101100
32101101011022200
42002200211230
532224242304
63221141500
7563541015
oct202404554
971334280
1034212204
1118348154
12b55a890
13711b310
14478800c
15300be39
hex20a096c

34212204 has 72 divisors (see below), whose sum is σ = 95458272. Its totient is φ = 10264320.

The previous prime is 34212203. The next prime is 34212229. The reversal of 34212204 is 40221243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18297 + ... + 20079.

Almost surely, 234212204 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 34212204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729136).

34212204 is an abundant number, since it is smaller than the sum of its proper divisors (61246068).

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

34212204 is a wasteful number, since it uses less digits than its factorization.

34212204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34212204 is about 5849.1199338020. The cubic root of 34212204 is about 324.6337618050.

Adding to 34212204 its reverse (40221243), we get a palindrome (74433447).

It can be divided in two parts, 3421 and 2204, that added together give a square (5625 = 752).

The spelling of 34212204 in words is "thirty-four million, two hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 1783 2132 3198 3566 4797 5349 6396 7132 9594 10698 16047 19188 21396 23179 32094 46358 64188 69537 73103 92716 139074 146206 208611 219309 278148 292412 417222 438618 657927 834444 877236 950339 1315854 1900678 2631708 2851017 3801356 5702034 8553051 11404068 17106102 34212204