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34789412 = 22721753197
BaseRepresentation
bin1000010010110…
…1100000100100
32102110111002202
42010231200210
532401230122
63241354032
7601463600
oct204554044
972414082
1034789412
1118701889
12b798918
137290c68
144898500
1530c2e92
hex212d824

34789412 has 72 divisors (see below), whose sum is σ = 76789944. Its totient is φ = 13698048.

The previous prime is 34789397. The next prime is 34789439. The reversal of 34789412 is 21498743.

It can be written as a sum of positive squares in 4 ways, for example, as 23872996 + 10916416 = 4886^2 + 3304^2 .

It is an alternating number because its digits alternate between odd and even.

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, 176498 + ... + 176694.

It is an arithmetic number, because the mean of its divisors is an integer number (1066527).

Almost surely, 234789412 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 34789412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38394972).

34789412 is an abundant number, since it is smaller than the sum of its proper divisors (42000532).

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

34789412 is a wasteful number, since it uses less digits than its factorization.

34789412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 34789412 is about 5898.2549961832. The cubic root of 34789412 is about 326.4492657798.

The spelling of 34789412 in words is "thirty-four million, seven hundred eighty-nine thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 197 212 238 371 394 476 742 788 833 901 1379 1484 1666 1802 2597 2758 3332 3349 3604 5194 5516 6307 6698 9653 10388 10441 12614 13396 19306 20882 23443 25228 38612 41764 44149 46886 73087 88298 93772 146174 164101 176596 177497 292348 328202 354994 511609 656404 709988 1023218 1242479 2046436 2484958 4969916 8697353 17394706 34789412