Search a number
-
+
3354006645 = 325118817691
BaseRepresentation
bin1100011111101010…
…0001010001110101
322122202011012011100
43013322201101311
523332111203040
61312452000313
7146054405013
oct30772412165
98582135140
103354006645
111471281920
12797300099
13415b41322
1423b6378b3
151496beb30
hexc7ea1475

3354006645 has 48 divisors (see below), whose sum is σ = 6350145984. Its totient is φ = 1624128000.

The previous prime is 3354006587. The next prime is 3354006647. The reversal of 3354006645 is 5466004533.

3354006645 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 0 + 0 + 6 + 645 = 666.

It is not a de Polignac number, because 3354006645 - 210 = 3354005621 is a prime.

It is a super-2 number, since 2×33540066452 = 22498721149408312050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354006647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 432250 + ... + 439940.

It is an arithmetic number, because the mean of its divisors is an integer number (132294708).

Almost surely, 23354006645 is an apocalyptic number.

It is an amenable number.

3354006645 is a deficient number, since it is larger than the sum of its proper divisors (2996139339).

3354006645 is a wasteful number, since it uses less digits than its factorization.

3354006645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3354006645 is about 57913.7863120691. The cubic root of 3354006645 is about 1496.8834023642.

The spelling of 3354006645 in words is "three billion, three hundred fifty-four million, six thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 881 2643 4405 7691 7929 9691 13215 23073 29073 38455 39645 48455 69219 84601 87219 115365 145365 253803 346095 423005 436095 761409 1269015 3807045 6775771 20327313 33878855 60981939 74533481 101636565 223600443 304909695 372667405 670801329 1118002215 3354006645