Search a number
-
+
344742912 = 2103337337
BaseRepresentation
bin10100100011000…
…101110000000000
3220000200202101000
4110203011300000
51201223233122
654113012000
711354160243
oct2443056000
9800622330
10344742912
111676644a8
1297554000
13565653b7
1433add25a
15203eb0ac
hex148c5c00

344742912 has 176 divisors, whose sum is σ = 1051666720. Its totient is φ = 111476736.

The previous prime is 344742877. The next prime is 344742913. The reversal of 344742912 is 219247443.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344742913) 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, 1022808 + ... + 1023144.

Almost surely, 2344742912 is an apocalyptic number.

344742912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525833360).

344742912 is an abundant number, since it is smaller than the sum of its proper divisors (706923808).

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

344742912 is a wasteful number, since it uses less digits than its factorization.

344742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 344742912 is about 18567.2537549310. The cubic root of 344742912 is about 701.1836518199.

The spelling of 344742912 in words is "three hundred forty-four million, seven hundred forty-two thousand, nine hundred twelve".