| Base | Representation |
|---|---|
| bin | 100111110110111… |
| … | …1001011010000000 |
| 3 | 10110012121120100200 |
| 4 | 1033231321122000 |
| 5 | 10214340303210 |
| 6 | 340413445200 |
| 7 | 45066660504 |
| oct | 11755713200 |
| 9 | 3405546320 |
| 10 | 1337431680 |
| 11 | 626a44242 |
| 12 | 313aa0800 |
| 13 | 1841127c0 |
| 14 | c98a6304 |
| 15 | 7c6360c0 |
| hex | 4fb79680 |
1337431680 has 384 divisors, whose sum is σ = 5082451920. Its totient is φ = 322043904.
The previous prime is 1337431651. The next prime is 1337431699. The reversal of 1337431680 is 861347331.
1337431680 is a `hidden beast` number, since 1 + 337 + 4 + 316 + 8 + 0 = 666.
1337431680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 323136576 + 1014295104 = 17976^2 + 31848^2 .
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
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, 3968472 + ... + 3968808.
Almost surely, 21337431680 is an apocalyptic number.
1337431680 is a gapful number since it is divisible by the number (10) 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 1337431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541225960).
1337431680 is an abundant number, since it is smaller than the sum of its proper divisors (3745020240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1337431680 is a wasteful number, since it uses less digits than its factorization.
1337431680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 428 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 1337431680 is about 36570.9130320806. The cubic root of 1337431680 is about 1101.7689663817.
It can be divided in two parts, 13374 and 31680, that added together give a palindrome (45054).
The spelling of 1337431680 in words is "one billion, three hundred thirty-seven million, four hundred thirty-one thousand, six hundred eighty".
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