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34073712 = 24321731449
BaseRepresentation
bin1000000111111…
…0110001110000
32101010010100100
42001332301300
532210324322
63214152400
7562423161
oct201766160
971103310
1034073712
11182630a2
12b4b2700
1370a027a
14474d768
152ed0dac
hex207ec70

34073712 has 120 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 10321920.

The previous prime is 34073701. The next prime is 34073713. The reversal of 34073712 is 21737043.

It is a super-2 number, since 2×340737122 = 2322035698917888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073713) 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, 75664 + ... + 76112.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 234073712 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 34073712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

34073712 is an abundant number, since it is smaller than the sum of its proper divisors (70383888).

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

34073712 is a wasteful number, since it uses less digits than its factorization.

34073712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 34073712 is about 5837.2692245604. The cubic root of 34073712 is about 324.1951270896.

The spelling of 34073712 in words is "thirty-four million, seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 449 496 527 558 612 744 816 898 1054 1116 1224 1347 1488 1581 1796 2108 2232 2448 2694 3162 3592 4041 4216 4464 4743 5388 6324 7184 7633 8082 8432 9486 10776 12648 13919 15266 16164 18972 21552 22899 25296 27838 30532 32328 37944 41757 45798 55676 61064 64656 68697 75888 83514 91596 111352 122128 125271 137394 167028 183192 222704 236623 250542 274788 334056 366384 473246 501084 549576 668112 709869 946492 1002168 1099152 1419738 1892984 2004336 2129607 2839476 3785968 4259214 5678952 8518428 11357904 17036856 34073712