Search a number
-
+
330789844 = 227111915623
BaseRepresentation
bin10011101101110…
…111001111010100
3212001102212100201
4103231313033110
51134140233334
652453550244
711124444610
oct2355671724
9761385321
10330789844
1115a7a4340
1292945384
13536bb448
1431d0a340
151e091c14
hex13b773d4

330789844 has 48 divisors (see below), whose sum is σ = 725630976. Its totient is φ = 128181600.

The previous prime is 330789839. The next prime is 330789889. The reversal of 330789844 is 448987033.

330789844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 330789794 and 330789803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56017 + ... + 61639.

It is an arithmetic number, because the mean of its divisors is an integer number (15117312).

Almost surely, 2330789844 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 330789844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362815488).

330789844 is an abundant number, since it is smaller than the sum of its proper divisors (394841132).

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

330789844 is a wasteful number, since it uses less digits than its factorization.

330789844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 330789844 is about 18187.6288723957. The cubic root of 330789844 is about 691.5932126444.

The spelling of 330789844 in words is "three hundred thirty million, seven hundred eighty-nine thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2674 4202 5348 5623 8404 11246 14707 22492 29414 39361 58828 61853 78722 123706 157444 247412 432971 865942 1073993 1731884 2147986 4295972 7517951 11813923 15035902 23627846 30071804 47255692 82697461 165394922 330789844