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334103221403400 = 2335215718119595267
BaseRepresentation
bin100101111110111010111011…
…1110101000111111100001000
31121210221221210221121122020010
41023331311313311013330020
5322242421344134402100
63142324522342231520
7130242106166503521
oct11375656765077410
91553857727548203
10334103221403400
119750142047a2a9
123157b538a255a0
1311456a4c672b87
145c70979d3d848
152895bd1557750
hex12fdd77d47f08

334103221403400 has 192 divisors, whose sum is σ = 1048075639490880. Its totient is φ = 88037611084800.

The previous prime is 334103221403377. The next prime is 334103221403477. The reversal of 334103221403400 is 4304122301433.

It is a happy number.

It is a super-2 number, since 2×3341032214034002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7252567 + ... + 26847833.

It is an arithmetic number, because the mean of its divisors is an integer number (5458727289015).

Almost surely, 2334103221403400 is an apocalyptic number.

334103221403400 is a gapful number since it is divisible by the number (30) 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 334103221403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524037819745440).

334103221403400 is an abundant number, since it is smaller than the sum of its proper divisors (713972418087480).

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

334103221403400 is a wasteful number, since it uses less digits than its factorization.

334103221403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19595624 (or 19595615 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 334103221403400 its reverse (4304122301433), we get a palindrome (338407343704833).

The spelling of 334103221403400 in words is "three hundred thirty-four trillion, one hundred three billion, two hundred twenty-one million, four hundred three thousand, four hundred".