Search a number
-
+
34496946 = 23211592953
BaseRepresentation
bin1000001110011…
…0000110110010
32101220121220200
42003212012302
532312400241
63231220030
7566135121
oct203460662
971817820
1034496946
1118522080
12b677616
1371baac3
14481dab8
1530664b6
hex20e61b2

34496946 has 48 divisors (see below), whose sum is σ = 82948320. Its totient is φ = 10272960.

The previous prime is 34496923. The next prime is 34496977. The reversal of 34496946 is 64969443.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10206 + ... + 13158.

It is an arithmetic number, because the mean of its divisors is an integer number (1728090).

Almost surely, 234496946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34496946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41474160).

34496946 is an abundant number, since it is smaller than the sum of its proper divisors (48451374).

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

34496946 is a wasteful number, since it uses less digits than its factorization.

34496946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3028 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 34496946 is about 5873.4100827373. The cubic root of 34496946 is about 325.5318974595.

The spelling of 34496946 in words is "thirty-four million, four hundred ninety-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 2953 3894 5841 5906 8859 11682 17718 26577 32483 53154 64966 97449 174227 194898 292347 348454 522681 584694 1045362 1568043 1916497 3136086 3832994 5749491 11498982 17248473 34496946