Search a number
-
+
345743104 = 287296653
BaseRepresentation
bin10100100110111…
…001111100000000
3220002120120101011
4110212321330000
51202002234404
654150250304
711365524250
oct2446717400
9802516334
10345743104
11168187a03
1297956994
1356825725
1433cbd960
1520547604
hex149b9f00

345743104 has 72 divisors (see below), whose sum is σ = 816046560. Its totient is φ = 143044608.

The previous prime is 345743023. The next prime is 345743131. The reversal of 345743104 is 401347543.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48642 + ... + 55294.

It is an arithmetic number, because the mean of its divisors is an integer number (11333980).

Almost surely, 2345743104 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 345743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408023280).

345743104 is an abundant number, since it is smaller than the sum of its proper divisors (470303456).

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

345743104 is an equidigital number, since it uses as much as digits as its factorization.

345743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 345743104 is about 18594.1685482304. The cubic root of 345743104 is about 701.8611046000.

The spelling of 345743104 in words is "three hundred forty-five million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 3248 3712 6496 6653 7424 12992 13306 25984 26612 46571 51968 53224 93142 106448 186284 192937 212896 372568 385874 425792 745136 771748 851584 1350559 1490272 1543496 1703168 2701118 2980544 3086992 5402236 5961088 6173984 10804472 11922176 12347968 21608944 24695936 43217888 49391872 86435776 172871552 345743104