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2953323945 = 3251113458947
BaseRepresentation
bin1011000000001000…
…0010010110101001
321121211012101211100
42300002002112221
522022022331240
61205015552013
7133120560615
oct26002022651
97554171740
102953323945
11128608aaa0
126a508b609
13380b21080
14200336345
15124423e30
hexb00825a9

2953323945 has 48 divisors (see below), whose sum is σ = 6014054592. Its totient is φ = 1321764480.

The previous prime is 2953323941. The next prime is 2953323949. The reversal of 2953323945 is 5493233592.

It is a happy number.

2953323945 is a `hidden beast` number, since 2 + 9 + 533 + 23 + 94 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2953323941) and next prime (2953323949).

It is not a de Polignac number, because 2953323945 - 22 = 2953323941 is a prime.

It is a super-2 number, since 2×29533239452 = 17444244648220726050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2953323945.

It is not an unprimeable number, because it can be changed into a prime (2953323941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223039 + ... + 235908.

It is an arithmetic number, because the mean of its divisors is an integer number (125292804).

Almost surely, 22953323945 is an apocalyptic number.

It is an amenable number.

2953323945 is an abundant number, since it is smaller than the sum of its proper divisors (3060730647).

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

2953323945 is a wasteful number, since it uses less digits than its factorization.

2953323945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458982 (or 458979 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 2953323945 is about 54344.4932352856. The cubic root of 2953323945 is about 1434.7306037606.

The spelling of 2953323945 in words is "two billion, nine hundred fifty-three million, three hundred twenty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 458947 1376841 2294735 4130523 5048417 5966311 6884205 15145251 17898933 20652615 25242085 29831555 45435753 53696799 65629421 75726255 89494665 196888263 227178765 268483995 328147105 590664789 984441315 2953323945