Search a number
-
+
334423323030432 = 253232112251318889
BaseRepresentation
bin100110000001001111111111…
…1010111111011001110100000
31121212002120001101022010022010
41030002133333113323032200
5322313142431143433212
63143131541555112520
7130304200462442616
oct11402377727731640
91555076041263263
10334423323030432
11976151534a84a9
12316115922a2740
131147aca3c3c63c
145c82264a5d6b6
15289e1b885903c
hex13027ff5fb3a0

334423323030432 has 192 divisors, whose sum is σ = 920782231649280. Its totient is φ = 106074904320000.

The previous prime is 334423323030427. The next prime is 334423323030451. The reversal of 334423323030432 is 234030323324433.

It is a super-2 number, since 2×3344233230304322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048554444 + ... + 1048873332.

It is an arithmetic number, because the mean of its divisors is an integer number (4795740789840).

Almost surely, 2334423323030432 is an apocalyptic number.

334423323030432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334423323030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460391115824640).

334423323030432 is an abundant number, since it is smaller than the sum of its proper divisors (586358908618848).

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

334423323030432 is a wasteful number, since it uses less digits than its factorization.

334423323030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321387 (or 321379 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 39.

Adding to 334423323030432 its reverse (234030323324433), we get a palindrome (568453646354865).

The spelling of 334423323030432 in words is "three hundred thirty-four trillion, four hundred twenty-three billion, three hundred twenty-three million, thirty thousand, four hundred thirty-two".