Search a number
-
+
332334020 = 225175916567
BaseRepresentation
bin10011110011110…
…000001111000100
3212011100022120102
4103303300033010
51140034142040
652551023232
711143535564
oct2363601704
9764308512
10332334020
11160659517
129336ab18
1353b0c265
14321ccda4
151e299515
hex13cf03c4

332334020 has 48 divisors (see below), whose sum is σ = 751524480. Its totient is φ = 122985984.

The previous prime is 332334019. The next prime is 332334077. The reversal of 332334020 is 20433233.

332334020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3323340202 = 220891801698720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

332334020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 332333983 and 332334001.

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, 11777 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (15656760).

Almost surely, 2332334020 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 332334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375762240).

332334020 is an abundant number, since it is smaller than the sum of its proper divisors (419190460).

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

332334020 is a wasteful number, since it uses less digits than its factorization.

332334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16652 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 332334020 is about 18230.0307185698. The cubic root of 332334020 is about 692.6676956194.

Adding to 332334020 its reverse (20433233), we get a palindrome (352767253).

The spelling of 332334020 in words is "three hundred thirty-two million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 4012 5015 10030 16567 20060 33134 66268 82835 165670 281639 331340 563278 977453 1126556 1408195 1954906 2816390 3909812 4887265 5632780 9774530 16616701 19549060 33233402 66466804 83083505 166167010 332334020