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3005106404 = 223720304773
BaseRepresentation
bin1011001100011110…
…0100100011100100
321202102122020000012
42303013210203210
522123301401104
61214105505352
7134316661106
oct26307444344
97672566005
103005106404
111302338a13
126ba4a2258
1338b781891
14207175576
15128c51d6e
hexb31e48e4

3005106404 has 12 divisors (see below), whose sum is σ = 5401069884. Its totient is φ = 1461943584.

The previous prime is 3005106389. The next prime is 3005106407. The reversal of 3005106404 is 4046015003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2161320100 + 843786304 = 46490^2 + 29048^2 .

It is a super-2 number, since 2×30051064042 = 18061328998723622432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3005106404.

It is not an unprimeable number, because it can be changed into a prime (3005106407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10152239 + ... + 10152534.

It is an arithmetic number, because the mean of its divisors is an integer number (450089157).

Almost surely, 23005106404 is an apocalyptic number.

It is an amenable number.

3005106404 is a deficient number, since it is larger than the sum of its proper divisors (2395963480).

3005106404 is a wasteful number, since it uses less digits than its factorization.

3005106404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20304814 (or 20304812 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3005106404 is about 54818.8508088231. The cubic root of 3005106404 is about 1443.0674074570.

The spelling of 3005106404 in words is "three billion, five million, one hundred six thousand, four hundred four".

Divisors: 1 2 4 37 74 148 20304773 40609546 81219092 751276601 1502553202 3005106404