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340348035280 = 245112316471753
BaseRepresentation
bin1001111001111100101…
…00101110000011010000
31012112111102212120220011
410330332110232003100
521034013044112110
6420204223324304
733406066365301
oct4747624560320
91175442776804
10340348035280
11121382658400
1255b65a50694
1326130029cb6
1412689a287a8
158cbe9e248a
hex4f3e52e0d0

340348035280 has 240 divisors, whose sum is σ = 899744412672. Its totient is φ = 119517235200.

The previous prime is 340348035257. The next prime is 340348035281. The reversal of 340348035280 is 82530843043.

It is a super-2 number, since 2×3403480352802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340348035281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194150884 + ... + 194152636.

Almost surely, 2340348035280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340348035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449872206336).

340348035280 is an abundant number, since it is smaller than the sum of its proper divisors (559396377392).

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

340348035280 is a wasteful number, since it uses less digits than its factorization.

340348035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 340348035280 in words is "three hundred forty billion, three hundred forty-eight million, thirty-five thousand, two hundred eighty".