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4446834345 = 325809122149
BaseRepresentation
bin1000010010000110…
…10100111010101001
3102110220111120221100
410021003110322221
533101342144340
62013131032013
7215124316422
oct41103247251
912426446840
104446834345
111982138508
12a4129b609
1355b380535
1430282a649
151b05da830
hex1090d4ea9

4446834345 has 24 divisors (see below), whose sum is σ = 7717437000. Its totient is φ = 2368694016.

The previous prime is 4446834331. The next prime is 4446834361. The reversal of 4446834345 is 5434386444.

It can be written as a sum of positive squares in 4 ways, for example, as 1031951376 + 3414882969 = 32124^2 + 58437^2 .

It is not a de Polignac number, because 4446834345 - 26 = 4446834281 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4446834345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24670 + ... + 97479.

It is an arithmetic number, because the mean of its divisors is an integer number (321559875).

Almost surely, 24446834345 is an apocalyptic number.

4446834345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4446834345 is a deficient number, since it is larger than the sum of its proper divisors (3270602655).

4446834345 is a wasteful number, since it uses less digits than its factorization.

4446834345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122969 (or 122966 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The square root of 4446834345 is about 66684.5885118893. The cubic root of 4446834345 is about 1644.4360301603.

The spelling of 4446834345 in words is "four billion, four hundred forty-six million, eight hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 809 2427 4045 7281 12135 36405 122149 366447 610745 1099341 1832235 5496705 98818541 296455623 494092705 889366869 1482278115 4446834345