Search a number
-
+
344950992 = 243210921977
BaseRepresentation
bin10100100011111…
…000100011010000
3220001002022210200
4110203320203100
51201301412432
654121255200
711356015011
oct2443704320
9801068720
10344950992
11167796871
1297634500
1356609019
1433b55008
152043ca7c
hex148f88d0

344950992 has 60 divisors (see below), whose sum is σ = 974284740. Its totient is φ = 113923584.

The previous prime is 344950973. The next prime is 344950997. The reversal of 344950992 is 299059443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 201526416 + 143424576 = 14196^2 + 11976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344950997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4708 + ... + 26684.

It is an arithmetic number, because the mean of its divisors is an integer number (16238079).

Almost surely, 2344950992 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 344950992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487142370).

344950992 is an abundant number, since it is smaller than the sum of its proper divisors (629333748).

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

344950992 is a wasteful number, since it uses less digits than its factorization.

344950992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22100 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 344950992 is about 18572.8563231400. The cubic root of 344950992 is about 701.3246969721.

The spelling of 344950992 in words is "three hundred forty-four million, nine hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 15696 21977 43954 65931 87908 131862 175816 197793 263724 351632 395586 527448 791172 1054896 1582344 2395493 3164688 4790986 7186479 9581972 14372958 19163944 21559437 28745916 38327888 43118874 57491832 86237748 114983664 172475496 344950992