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34011712 = 26731279
BaseRepresentation
bin1000000110111…
…1101001000000
32100222222022001
42001233221000
532201333322
63212553344
7562044340
oct201575100
970888261
1034011712
1118220559
12b482854
13707ac97
144734d20
152ebc827
hex206fa40

34011712 has 84 divisors (see below), whose sum is σ = 80711040. Its totient is φ = 13927680.

The previous prime is 34011707. The next prime is 34011749. The reversal of 34011712 is 21711043.

It is a self number, because there is not a number n which added to its sum of digits gives 34011712.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430489 + ... + 430567.

Almost surely, 234011712 is an apocalyptic number.

34011712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40355520).

34011712 is an abundant number, since it is smaller than the sum of its proper divisors (46699328).

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

34011712 is an equidigital number, since it uses as much as digits as its factorization.

34011712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 34011712 is about 5831.9561040872. The cubic root of 34011712 is about 323.9983742234.

Adding to 34011712 its reverse (21711043), we get a palindrome (55722755).

The spelling of 34011712 in words is "thirty-four million, eleven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 79 112 124 158 217 224 248 316 434 448 496 553 632 868 961 992 1106 1264 1736 1922 1984 2212 2449 2528 3472 3844 4424 4898 5056 6727 6944 7688 8848 9796 13454 13888 15376 17143 17696 19592 26908 30752 34286 35392 39184 53816 61504 68572 75919 78368 107632 137144 151838 156736 215264 274288 303676 430528 531433 548576 607352 1062866 1097152 1214704 2125732 2429408 4251464 4858816 8502928 17005856 34011712