Search a number
-
+
3430393146 = 23365397283
BaseRepresentation
bin1100110001110111…
…1010010100111010
322212001220000202000
43030131322110322
524011140040041
61324221121430
7151002601125
oct31435722472
98761800660
103430393146
111500405164
127b89b9276
13428907a3b
1424783d3bc
1515125cbb6
hexcc77a53a

3430393146 has 32 divisors (see below), whose sum is σ = 7634848320. Its totient is φ = 1141701552.

The previous prime is 3430393139. The next prime is 3430393201. The reversal of 3430393146 is 6413930343.

3430393146 is a `hidden beast` number, since 34 + 303 + 9 + 314 + 6 = 666.

It is a super-2 number, since 2×34303931462 = 23535194272247554632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3430393146.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13380 + ... + 83903.

It is an arithmetic number, because the mean of its divisors is an integer number (238589010).

Almost surely, 23430393146 is an apocalyptic number.

3430393146 is an abundant number, since it is smaller than the sum of its proper divisors (4204455174).

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

3430393146 is a wasteful number, since it uses less digits than its factorization.

3430393146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97947 (or 97941 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3430393146 is about 58569.5581851187. The cubic root of 3430393146 is about 1508.1619003707.

It can be divided in two parts, 34303 and 93146, that added together give a square (127449 = 3572).

The spelling of 3430393146 in words is "three billion, four hundred thirty million, three hundred ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 653 1306 1959 3918 5877 11754 17631 35262 97283 194566 291849 583698 875547 1751094 2626641 5253282 63525799 127051598 190577397 381154794 571732191 1143464382 1715196573 3430393146