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34073004 = 22371937577
BaseRepresentation
bin1000000111111…
…0100110101100
32101010002101010
42001332212230
532210314004
63214145220
7562421130
oct201764654
971102333
1034073004
1118262609
12b4b2210
13709cb54
14474d3c0
152ed0a89
hex207e9ac

34073004 has 96 divisors (see below), whose sum is σ = 98398720. Its totient is φ = 8957952.

The previous prime is 34072993. The next prime is 34073029. The reversal of 34073004 is 40037043.

34073004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58764 + ... + 59340.

Almost surely, 234073004 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 34073004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49199360).

34073004 is an abundant number, since it is smaller than the sum of its proper divisors (64325716).

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

34073004 is a wasteful number, since it uses less digits than its factorization.

34073004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 34073004 is about 5837.2085794496. The cubic root of 34073004 is about 324.1928816466.

The spelling of 34073004 in words is "thirty-four million, seventy-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 228 259 266 399 444 518 532 577 703 777 798 1036 1154 1406 1554 1596 1731 2109 2308 2812 3108 3462 4039 4218 4921 6924 8078 8436 9842 10963 12117 14763 16156 19684 21349 21926 24234 29526 32889 42698 43852 48468 59052 64047 65778 76741 85396 128094 131556 149443 153482 230223 256188 298886 306964 405631 448329 460446 597772 811262 896658 920892 1216893 1622524 1793316 2433786 2839417 4867572 5678834 8518251 11357668 17036502 34073004