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340331431440 = 2435711131416631
BaseRepresentation
bin1001111001111010101…
…01011000011000010000
31012112110021122000201010
410330331111120120100
521033444321301230
6420202431410520
733405505302510
oct4747525303020
91175407560633
10340331431440
11121374247720
1255b60383a40
1326129765640
1412687745840
158cbd3129b0
hex4f3d558610

340331431440 has 320 divisors, whose sum is σ = 1416541335552. Its totient is φ = 65278310400.

The previous prime is 340331431409. The next prime is 340331431459. The reversal of 340331431440 is 44134133043.

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

It is a junction number, because it is equal to n+sod(n) for n = 340331431398 and 340331431407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468076 + ... + 948555.

Almost surely, 2340331431440 is an apocalyptic number.

340331431440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340331431440 is an abundant number, since it is smaller than the sum of its proper divisors (1076209904112).

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

340331431440 is a wasteful number, since it uses less digits than its factorization.

340331431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416678 (or 1416672 counting only the distinct ones).

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

Adding to 340331431440 its reverse (44134133043), we get a palindrome (384465564483).

The spelling of 340331431440 in words is "three hundred forty billion, three hundred thirty-one million, four hundred thirty-one thousand, four hundred forty".