Search a number
-
+
345798768 = 24371760539
BaseRepresentation
bin10100100111000…
…111100001110000
3220002200101201210
4110213013201300
51202011030033
654151400120
711366145450
oct2447074160
9802611653
10345798768
11168215807
1297983040
1356844b73
1433cd5d60
1520558d63
hex149c7870

345798768 has 80 divisors (see below), whose sum is σ = 1081002240. Its totient is φ = 92986368.

The previous prime is 345798763. The next prime is 345798773. The reversal of 345798768 is 867897543.

It is an interprime number because it is at equal distance from previous prime (345798763) and next prime (345798773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345798763) 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 15 ways as a sum of consecutive naturals, for example, 24558 + ... + 35981.

It is an arithmetic number, because the mean of its divisors is an integer number (13512528).

Almost surely, 2345798768 is an apocalyptic number.

It is an amenable number.

345798768 is an abundant number, since it is smaller than the sum of its proper divisors (735203472).

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

345798768 is a wasteful number, since it uses less digits than its factorization.

345798768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60574 (or 60568 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 345798768 is about 18595.6653013545. The cubic root of 345798768 is about 701.8987686918.

The spelling of 345798768 in words is "three hundred forty-five million, seven hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 60539 121078 181617 242156 363234 423773 484312 726468 847546 968624 1029163 1271319 1452936 1695092 2058326 2542638 2905872 3087489 3390184 4116652 5085276 6174978 6780368 7204141 8233304 10170552 12349956 14408282 16466608 20341104 21612423 24699912 28816564 43224846 49399824 57633128 86449692 115266256 172899384 345798768