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338950311420 = 22357807024551
BaseRepresentation
bin1001110111010110000…
…00110100110111111100
31012101220000210212012210
410323223000310313330
521023132234431140
6415413413300420
733326335052520
oct4735300646774
91171800725183
10338950311420
11120825683816
1255835934710
1325c69597566
1412596149d80
158c3be4bd80
hex4eeb034dfc

338950311420 has 48 divisors (see below), whose sum is σ = 1084640997888. Its totient is φ = 77474356800.

The previous prime is 338950311419. The next prime is 338950311433. The reversal of 338950311420 is 24113059833.

It is a happy number.

It is a super-2 number, since 2×3389503114202 (a number of 24 digits) contains 22 as substring.

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, 403511856 + ... + 403512695.

It is an arithmetic number, because the mean of its divisors is an integer number (22596687456).

Almost surely, 2338950311420 is an apocalyptic number.

338950311420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338950311420 is an abundant number, since it is smaller than the sum of its proper divisors (745690686468).

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

338950311420 is a wasteful number, since it uses less digits than its factorization.

338950311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807024570 (or 807024568 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

It can be divided in two parts, 338950 and 311420, that added together give a triangular number (650370 = T1140).

The spelling of 338950311420 in words is "three hundred thirty-eight billion, nine hundred fifty million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 807024551 1614049102 2421073653 3228098204 4035122755 4842147306 5649171857 8070245510 9684294612 11298343714 12105368265 16140491020 16947515571 22596687428 24210736530 28245859285 33895031142 48421473060 56491718570 67790062284 84737577855 112983437140 169475155710 338950311420