Search a number
-
+
34305612 = 22311293887
BaseRepresentation
bin1000001011011…
…1011001001100
32101112220110020
42002313121030
532240234422
63223142140
7564410235
oct202673114
971486406
1034305612
1118401350
12b5a4950
1371519a3
1447b008c
15302995c
hex20b764c

34305612 has 48 divisors (see below), whose sum is σ = 87720192. Its totient is φ = 10348480.

The previous prime is 34305587. The next prime is 34305613. The reversal of 34305612 is 21650343.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34305613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38233 + ... + 39119.

It is an arithmetic number, because the mean of its divisors is an integer number (1827504).

Almost surely, 234305612 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 34305612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43860096).

34305612 is an abundant number, since it is smaller than the sum of its proper divisors (53414580).

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

34305612 is a wasteful number, since it uses less digits than its factorization.

34305612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34305612 is about 5857.0992820679. The cubic root of 34305612 is about 324.9289375203.

Adding to 34305612 its reverse (21650343), we get a palindrome (55955955).

It can be divided in two parts, 3 and 4305612, that multiplied together give a square (12916836 = 35942).

The spelling of 34305612 in words is "thirty-four million, three hundred five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 887 1172 1758 1774 2661 3223 3516 3548 5322 6446 9669 9757 10644 12892 19338 19514 29271 38676 39028 58542 117084 259891 519782 779673 1039564 1559346 2858801 3118692 5717602 8576403 11435204 17152806 34305612