Search a number
-
+
3453461408 = 252343109121
BaseRepresentation
bin1100110111010111…
…1010001110100000
322220200022000110002
43031311322032200
524033041231113
61330403355132
7151402636415
oct31565721640
98820260402
103453461408
111512430741
12804682aa8
134306238b7
1424a92610c
151532b7c58
hexcdd7a3a0

3453461408 has 48 divisors (see below), whose sum is σ = 7259668416. Its totient is φ = 1613230080.

The previous prime is 3453461383. The next prime is 3453461419. The reversal of 3453461408 is 8041643543.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22913 + ... + 86208.

It is an arithmetic number, because the mean of its divisors is an integer number (151243092).

Almost surely, 23453461408 is an apocalyptic number.

It is an amenable number.

3453461408 is an abundant number, since it is smaller than the sum of its proper divisors (3806207008).

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

3453461408 is a wasteful number, since it uses less digits than its factorization.

3453461408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109197 (or 109189 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3453461408 is about 58766.1586969916. The cubic root of 3453461408 is about 1511.5349810604.

The spelling of 3453461408 in words is "three billion, four hundred fifty-three million, four hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1376 1978 3956 7912 15824 31648 109121 218242 436484 872968 1745936 2509783 3491872 4692203 5019566 9384406 10039132 18768812 20078264 37537624 40156528 75075248 80313056 107920669 150150496 215841338 431682676 863365352 1726730704 3453461408