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34014204 = 2232743273
BaseRepresentation
bin1000000111000…
…0001111111100
32101000002201100
42001300033330
532201423304
63213013100
7562054530
oct201601774
971002640
1034014204
1118222414
12b484190
13707c163
144735bc0
152ebd439
hex20703fc

34014204 has 108 divisors (see below), whose sum is σ = 101979696. Its totient is φ = 9362304.

The previous prime is 34014191. The next prime is 34014209. The reversal of 34014204 is 40241043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 465912 + ... + 465984.

Almost surely, 234014204 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 34014204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50989848).

34014204 is an abundant number, since it is smaller than the sum of its proper divisors (67965492).

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

34014204 is a wasteful number, since it uses less digits than its factorization.

34014204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 128 counting only the distinct ones).

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

The square root of 34014204 is about 5832.1697506160. The cubic root of 34014204 is about 324.0062870294.

Adding to 34014204 its reverse (40241043), we get a palindrome (74255247).

The spelling of 34014204 in words is "thirty-four million, fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 73 84 86 126 129 146 172 219 252 258 292 301 387 438 511 516 602 657 774 876 903 1022 1204 1314 1533 1548 1806 1849 2044 2628 2709 3066 3139 3612 3698 4599 5418 5547 6132 6278 7396 9198 9417 10836 11094 12556 12943 16641 18396 18834 21973 22188 25886 28251 33282 37668 38829 43946 51772 56502 65919 66564 77658 87892 113004 116487 131838 134977 155316 197757 232974 263676 269954 395514 404931 465948 539908 791028 809862 944839 1214793 1619724 1889678 2429586 2834517 3779356 4859172 5669034 8503551 11338068 17007102 34014204