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334330431420 = 223520771268267
BaseRepresentation
bin1001101110101111010…
…01011000011110111100
31011221222001200122021010
410313113221120132330
520434202042301140
6413331141235220
733104006530566
oct4672751303674
91157861618233
10334330431420
111198748a3577
1254966702b10
13256b140965b
1412278756336
158a6b57d880
hex4dd7a587bc

334330431420 has 48 divisors (see below), whose sum is σ = 936173766528. Its totient is φ = 89150157120.

The previous prime is 334330431343. The next prime is 334330431503. The reversal of 334330431420 is 24134033433.

It is a super-2 number, since 2×3343304314202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112127 + ... + 1380393.

It is an arithmetic number, because the mean of its divisors is an integer number (19503620136).

Almost surely, 2334330431420 is an apocalyptic number.

334330431420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334330431420 is an abundant number, since it is smaller than the sum of its proper divisors (601843335108).

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

334330431420 is a wasteful number, since it uses less digits than its factorization.

334330431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289050 (or 289048 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 334330431420 its reverse (24134033433), we get a palindrome (358464464853).

The spelling of 334330431420 in words is "three hundred thirty-four billion, three hundred thirty million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20771 41542 62313 83084 103855 124626 207710 249252 268267 311565 415420 536534 623130 804801 1073068 1246260 1341335 1609602 2682670 3219204 4024005 5365340 8048010 16096020 5572173857 11144347714 16716521571 22288695428 27860869285 33433043142 55721738570 66866086284 83582607855 111443477140 167165215710 334330431420