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34081776 = 243378893
BaseRepresentation
bin1000001000000…
…0101111110000
32101010112102000
42002000233300
532211104101
63214254000
7562455531
oct202005760
971115360
1034081776
1118269163
12b4b7300
1370a3b41
144752688
152ed3486
hex2080bf0

34081776 has 40 divisors (see below), whose sum is σ = 97828560. Its totient is φ = 11360448.

The previous prime is 34081727. The next prime is 34081777. The reversal of 34081776 is 67718043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34081776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34081777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39015 + ... + 39878.

It is an arithmetic number, because the mean of its divisors is an integer number (2445714).

Almost surely, 234081776 is an apocalyptic number.

34081776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34081776 is an abundant number, since it is smaller than the sum of its proper divisors (63746784).

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

34081776 is a wasteful number, since it uses less digits than its factorization.

34081776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78910 (or 78898 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 34081776 is about 5837.9599176425. The cubic root of 34081776 is about 324.2207001110.

It can be divided in two parts, 3408 and 1776, that added together give a square (5184 = 722).

The spelling of 34081776 in words is "thirty-four million, eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78893 157786 236679 315572 473358 631144 710037 946716 1262288 1420074 1893432 2130111 2840148 3786864 4260222 5680296 8520444 11360592 17040888 34081776