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34004412 = 223213113643
BaseRepresentation
bin1000000110110…
…1110110111100
32100222121021200
42001231312330
532201120122
63212455500
7562014141
oct201556674
970877250
1034004412
1118216022
12b47a590
137077870
1447323c8
152eba5ac
hex206ddbc

34004412 has 72 divisors (see below), whose sum is σ = 93531984. Its totient is φ = 10354176.

The previous prime is 34004407. The next prime is 34004413. The reversal of 34004412 is 21440043.

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 (34004413) 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, 52563 + ... + 53205.

Almost surely, 234004412 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 34004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46765992).

34004412 is an abundant number, since it is smaller than the sum of its proper divisors (59527572).

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

34004412 is a wasteful number, since it uses less digits than its factorization.

34004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

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

The square root of 34004412 is about 5831.3302084516. The cubic root of 34004412 is about 323.9751924308.

Adding to 34004412 its reverse (21440043), we get a palindrome (55444455).

The spelling of 34004412 in words is "thirty-four million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 643 678 1017 1286 1356 1469 1929 2034 2572 2938 3858 4068 4407 5787 5876 7716 8359 8814 11574 13221 16718 17628 23148 25077 26442 33436 50154 52884 72659 75231 100308 145318 150462 217977 290636 300924 435954 653931 871908 944567 1307862 1889134 2615724 2833701 3778268 5667402 8501103 11334804 17002206 34004412