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345383376 = 243134191321
BaseRepresentation
bin10100100101100…
…010000111010000
3220001220021220220
4110211202013100
51201404232001
654134433040
711362465422
oct2445420720
9801807826
10345383376
11167a61708
1297802780
135672aa80
1433c28812
15204c5c36
hex149621d0

345383376 has 80 divisors (see below), whose sum is σ = 963896640. Its totient is φ = 105937920.

The previous prime is 345383347. The next prime is 345383377. The reversal of 345383376 is 673383543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345383377) 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 15 ways as a sum of consecutive naturals, for example, 260796 + ... + 262116.

It is an arithmetic number, because the mean of its divisors is an integer number (12048708).

Almost surely, 2345383376 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 345383376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481948320).

345383376 is an abundant number, since it is smaller than the sum of its proper divisors (618513264).

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

345383376 is a wasteful number, since it uses less digits than its factorization.

345383376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 345383376 is about 18584.4928905795. The cubic root of 345383376 is about 701.6176032806.

The spelling of 345383376 in words is "three hundred forty-five million, three hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 419 624 838 1257 1321 1676 2514 2642 3352 3963 5028 5284 5447 6704 7926 10056 10568 10894 15852 16341 17173 20112 21136 21788 31704 32682 34346 43576 51519 63408 65364 68692 87152 103038 130728 137384 206076 261456 274768 412152 553499 824304 1106998 1660497 2213996 3320994 4427992 6641988 7195487 8855984 13283976 14390974 21586461 26567952 28781948 43172922 57563896 86345844 115127792 172691688 345383376