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34574034 = 23111979349
BaseRepresentation
bin1000001111100…
…0111011010010
32102001112122210
42003320323102
532322332114
63233012550
7566605635
oct203707322
972045583
1034574034
1118574a90
12b6b4156
137216c11
14483dc1c
15307e259
hex20f8ed2

34574034 has 64 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 9771840.

The previous prime is 34574027. The next prime is 34574047. The reversal of 34574034 is 43047543.

34574034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34573992 and 34574010.

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, 98892 + ... + 99240.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 234574034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34574034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

34574034 is an abundant number, since it is smaller than the sum of its proper divisors (46065966).

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

34574034 is a wasteful number, since it uses less digits than its factorization.

34574034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 34574034 is about 5879.9688774687. The cubic root of 34574034 is about 325.7741984609.

The spelling of 34574034 in words is "thirty-four million, five hundred seventy-four thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 79 114 158 209 237 349 418 474 627 698 869 1047 1254 1501 1738 2094 2607 3002 3839 4503 5214 6631 7678 9006 11517 13262 16511 19893 23034 27571 33022 39786 49533 55142 72941 82713 99066 145882 165426 218823 303281 437646 523849 606562 909843 1047698 1571547 1819686 3143094 5762339 11524678 17287017 34574034