Search a number
-
+
344068004 = 22722836203
BaseRepresentation
bin10100100000100…
…000111110100100
3212222102110120102
4110200200332210
51201040134004
654050323232
711345346500
oct2440407644
9788373512
10344068004
11167243425
1297289518
135638a147
14339a5300
152031611e
hex14820fa4

344068004 has 36 divisors (see below), whose sum is σ = 703012464. Its totient is φ = 146912976.

The previous prime is 344068003. The next prime is 344068009. The reversal of 344068004 is 400860443.

It is not an unprimeable number, because it can be changed into a prime (344068003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52367 + ... + 58569.

It is an arithmetic number, because the mean of its divisors is an integer number (19528124).

Almost surely, 2344068004 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 344068004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351506232).

344068004 is an abundant number, since it is smaller than the sum of its proper divisors (358944460).

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

344068004 is a wasteful number, since it uses less digits than its factorization.

344068004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 344068004 is about 18549.0701653749. The cubic root of 344068004 is about 700.7257805627.

The spelling of 344068004 in words is "three hundred forty-four million, sixty-eight thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 283 566 1132 1981 3962 6203 7924 12406 13867 24812 27734 43421 55468 86842 173684 303947 607894 1215788 1755449 3510898 7021796 12288143 24576286 49152572 86017001 172034002 344068004