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340310440032 = 25327071309531
BaseRepresentation
bin1001111001111000001…
…01010011100001100000
31012112101211010112220120
410330330011103201200
521033423433040112
6420200401440240
733405132004203
oct4747405234140
91175354115816
10340310440032
1112136340a552
1255b55340080
13261252c5ba4
1412684a3d93a
158cbb567e8c
hex4f3c153860

340310440032 has 48 divisors (see below), whose sum is σ = 893645589312. Its totient is φ = 113394821760.

The previous prime is 340310440021. The next prime is 340310440091. The reversal of 340310440032 is 230044013043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3403104400322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340310439984 and 340310440011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394894 + ... + 914637.

It is an arithmetic number, because the mean of its divisors is an integer number (18617616444).

Almost surely, 2340310440032 is an apocalyptic number.

340310440032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340310440032 is an abundant number, since it is smaller than the sum of its proper divisors (553335149280).

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

340310440032 is a wasteful number, since it uses less digits than its factorization.

340310440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312251 (or 1312243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 340310440032 its reverse (230044013043), we get a palindrome (570354453075).

The spelling of 340310440032 in words is "three hundred forty billion, three hundred ten million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2707 5414 8121 10828 16242 21656 32484 43312 64968 86624 129936 259872 1309531 2619062 3928593 5238124 7857186 10476248 15714372 20952496 31428744 41904992 62857488 125714976 3544900417 7089800834 10634701251 14179601668 21269402502 28359203336 42538805004 56718406672 85077610008 113436813344 170155220016 340310440032