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344945916 = 223277917327
BaseRepresentation
bin10100100011110…
…111010011111100
3220001002001211200
4110203313103330
51201301232131
654121215500
711355664140
oct2443672374
9801061750
10344945916
11167792a77
1297631590
1356606913
1433b53220
152043b2e6
hex148f74fc

344945916 has 72 divisors (see below), whose sum is σ = 1009182720. Its totient is φ = 97302816.

The previous prime is 344945891. The next prime is 344945917. The reversal of 344945916 is 619549443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344945917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11245 + ... + 28571.

Almost surely, 2344945916 is an apocalyptic number.

344945916 is a gapful number since it is divisible by the number (36) 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 344945916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504591360).

344945916 is an abundant number, since it is smaller than the sum of its proper divisors (664236804).

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

344945916 is a wasteful number, since it uses less digits than its factorization.

344945916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17418 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 344945916 is about 18572.7196716044. The cubic root of 344945916 is about 701.3212569264.

The spelling of 344945916 in words is "three hundred forty-four million, nine hundred forty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 17327 19908 34654 51981 69308 103962 121289 155943 207924 242578 311886 363867 485156 623772 727734 1091601 1368833 1455468 2183202 2737666 4106499 4366404 5475332 8212998 9581831 12319497 16425996 19163662 24638994 28745493 38327324 49277988 57490986 86236479 114981972 172472958 344945916