Search a number
-
+
3452733004 = 2273114472749
BaseRepresentation
bin1100110111001100…
…1000011001001100
322220121221000021011
43031303020121030
524032344424004
61330340015004
7151363513660
oct31563103114
98817830234
103452733004
111511a83456
12804391464
1343042a1a6
1424a7b68a0
151531c2004
hexcdcc864c

3452733004 has 48 divisors (see below), whose sum is σ = 7135744000. Its totient is φ = 1430498880.

The previous prime is 3452733001. The next prime is 3452733079. The reversal of 3452733004 is 4003372543.

It is a super-3 number, since 3×34527330043 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3452733001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254622 + ... + 1257370.

Almost surely, 23452733004 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 3452733004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567872000).

3452733004 is an abundant number, since it is smaller than the sum of its proper divisors (3683010996).

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

3452733004 is a wasteful number, since it uses less digits than its factorization.

3452733004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 31.

The square root of 3452733004 is about 58759.9608917501. The cubic root of 3452733004 is about 1511.4287026136.

The spelling of 3452733004 in words is "three billion, four hundred fifty-two million, seven hundred thirty-three thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1447 2749 2894 5498 5788 10129 10996 19243 20258 38486 40516 44857 76972 85219 89714 170438 179428 313999 340876 596533 627998 1193066 1255996 2386132 3977803 7955606 15911212 27844621 55689242 111378484 123311893 246623786 493247572 863183251 1726366502 3452733004