Search a number
-
+
345899106 = 23372413797
BaseRepresentation
bin10100100111100…
…000000001100010
3220002212111101000
4110213200001202
51202022232411
654153452430
711400044130
oct2447400142
9802774330
10345899106
11168284133
1297a11116
135687b737
1433d20750
1520578956
hex149e0062

345899106 has 64 divisors (see below), whose sum is σ = 882351360. Its totient is φ = 98392320.

The previous prime is 345899089. The next prime is 345899129. The reversal of 345899106 is 601998543.

It is a happy number.

345899106 is a `hidden beast` number, since 3 + 458 + 99 + 106 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89200 + ... + 92996.

It is an arithmetic number, because the mean of its divisors is an integer number (13786740).

Almost surely, 2345899106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345899106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441175680).

345899106 is an abundant number, since it is smaller than the sum of its proper divisors (536452254).

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

345899106 is a wasteful number, since it uses less digits than its factorization.

345899106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 345899106 is about 18598.3629924787. The cubic root of 345899106 is about 701.9666504721.

The spelling of 345899106 in words is "three hundred forty-five million, eight hundred ninety-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 241 378 482 723 1446 1687 2169 3374 3797 4338 5061 6507 7594 10122 11391 13014 15183 22782 26579 30366 34173 45549 53158 68346 79737 91098 102519 159474 205038 239211 478422 717633 915077 1435266 1830154 2745231 5490462 6405539 8235693 12811078 16471386 19216617 24707079 38433234 49414158 57649851 115299702 172949553 345899106