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34934004 = 2234773211
BaseRepresentation
bin1000010101000…
…0110011110100
32102201211110000
42011100303310
532420342004
63244431300
7602635260
oct205206364
972654400
1034934004
11187a0486
12b848530
137311a11
1448d50a0
153100c39
hex2150cf4

34934004 has 120 divisors (see below), whose sum is σ = 106301888. Its totient is φ = 9797760.

The previous prime is 34933999. The next prime is 34934021. The reversal of 34934004 is 40043943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165459 + ... + 165669.

Almost surely, 234934004 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 34934004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53150944).

34934004 is an abundant number, since it is smaller than the sum of its proper divisors (71367884).

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

34934004 is a wasteful number, since it uses less digits than its factorization.

34934004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34934004 is about 5910.4994712799. The cubic root of 34934004 is about 326.9009042373.

Adding to 34934004 its reverse (40043943), we get a palindrome (74977947).

The spelling of 34934004 in words is "thirty-four million, nine hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 211 219 252 292 324 378 422 438 511 567 633 657 756 844 876 1022 1134 1266 1314 1477 1533 1899 1971 2044 2268 2532 2628 2954 3066 3798 3942 4431 4599 5697 5908 5913 6132 7596 7884 8862 9198 11394 11826 13293 13797 15403 17091 17724 18396 22788 23652 26586 27594 30806 34182 39879 41391 46209 53172 55188 61612 68364 79758 82782 92418 107821 119637 138627 159516 165564 184836 215642 239274 277254 323463 415881 431284 478548 554508 646926 831762 970389 1247643 1293852 1663524 1940778 2495286 2911167 3881556 4990572 5822334 8733501 11644668 17467002 34934004