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34076112 = 2437372741
BaseRepresentation
bin1000000111111…
…1010111010000
32101010020122020
42001333113100
532210413422
63214211440
7562433160
oct201772720
971106566
1034076112
1118264984
12b4b3b80
1370a13a5
1447505a0
152ed195c
hex207f5d0

34076112 has 80 divisors (see below), whose sum is σ = 103362432. Its totient is φ = 9469440.

The previous prime is 34076069. The next prime is 34076117. The reversal of 34076112 is 21167043.

34076112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340761122 = 2322362818073088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34076117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11062 + ... + 13802.

Almost surely, 234076112 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 34076112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51681216).

34076112 is an abundant number, since it is smaller than the sum of its proper divisors (69286320).

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

34076112 is a wasteful number, since it uses less digits than its factorization.

34076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 34076112 is about 5837.4747965195. The cubic root of 34076112 is about 324.2027385296.

The spelling of 34076112 in words is "thirty-four million, seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 2741 3108 4144 5482 6216 8223 10964 12432 16446 19187 21928 32892 38374 43856 57561 65784 76748 101417 115122 131568 153496 202834 230244 304251 306992 405668 460488 608502 709919 811336 920976 1217004 1419838 1622672 2129757 2434008 2839676 4259514 4868016 5679352 8519028 11358704 17038056 34076112