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340131220440 = 233511257675167
BaseRepresentation
bin1001111001100010110…
…01101000101111011000
31012111221022220020211220
410330301121220233120
521033042043023230
6420130520252040
733400524446124
oct4746131505730
91174838806756
10340131220440
11121281230190
1255b05311020
13260c71362ab
1412668d0a584
158caa965d10
hex4f31668bd8

340131220440 has 64 divisors (see below), whose sum is σ = 1113156725760. Its totient is φ = 82456053120.

The previous prime is 340131220423. The next prime is 340131220447. The reversal of 340131220440 is 44022131043.

340131220440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 340131220440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340131220447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128836264 + ... + 128838903.

It is an arithmetic number, because the mean of its divisors is an integer number (17393073840).

Almost surely, 2340131220440 is an apocalyptic number.

340131220440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340131220440 is an abundant number, since it is smaller than the sum of its proper divisors (773025505320).

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

340131220440 is a wasteful number, since it uses less digits than its factorization.

340131220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257675192 (or 257675188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340131220440 its reverse (44022131043), we get a palindrome (384153351483).

The spelling of 340131220440 in words is "three hundred forty billion, one hundred thirty-one million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 257675167 515350334 773025501 1030700668 1288375835 1546051002 2061401336 2576751670 2834426837 3092102004 3865127505 5153503340 5668853674 6184204008 7730255010 8503280511 10307006680 11337707348 14172134185 15460510020 17006561022 22675414696 28344268370 30921020040 34013122044 42516402555 56688536740 68026244088 85032805110 113377073480 170065610220 340131220440