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345041144 = 23725411627
BaseRepresentation
bin10100100100001…
…110100011111000
3220001020220110122
4110210032203320
51201312304034
654123232412
711356541600
oct2444164370
9801226418
10345041144
11167848578
1297678708
135663b076
1433b79c00
152045962e
hex1490e8f8

345041144 has 48 divisors (see below), whose sum is σ = 754431480. Its totient is φ = 147510720.

The previous prime is 345041141. The next prime is 345041153. The reversal of 345041144 is 441140543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345041141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211259 + ... + 212885.

Almost surely, 2345041144 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 345041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377215740).

345041144 is an abundant number, since it is smaller than the sum of its proper divisors (409390336).

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

345041144 is a wasteful number, since it uses less digits than its factorization.

345041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 345041144 is about 18575.2831472363. The cubic root of 345041144 is about 701.3857880821.

Adding to 345041144 its reverse (441140543), we get a palindrome (786181687).

The spelling of 345041144 in words is "three hundred forty-five million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 541 1082 1627 2164 3254 3787 4328 6508 7574 11389 13016 15148 22778 26509 30296 45556 53018 79723 91112 106036 159446 212072 318892 637784 880207 1760414 3520828 6161449 7041656 12322898 24645796 43130143 49291592 86260286 172520572 345041144