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34312300040 = 2352929579569
BaseRepresentation
bin11111111101001011…
…000010011000001000
310021120021122102221102
4133331023002120020
51030232422100130
623432435400532
72323201511114
oct377513023010
9107507572842
1034312300040
1113608442967
126797153148
13330a900025
141937054744
15d5c4dc645
hex7fd2c2608

34312300040 has 32 divisors (see below), whose sum is σ = 79864839000. Its totient is φ = 13251646464.

The previous prime is 34312300031. The next prime is 34312300063. The reversal of 34312300040 is 4000321343.

It can be written as a sum of positive squares in 4 ways, for example, as 16313931076 + 17998368964 = 127726^2 + 134158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34312299985 and 34312300021.

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, 14788625 + ... + 14790944.

Almost surely, 234312300040 is an apocalyptic number.

It is an amenable number.

34312300040 is an abundant number, since it is smaller than the sum of its proper divisors (45552538960).

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

34312300040 is a wasteful number, since it uses less digits than its factorization.

34312300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579609 (or 29579605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34312300040 its reverse (4000321343), we get a palindrome (38312621383).

The spelling of 34312300040 in words is "thirty-four billion, three hundred twelve million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 29579569 59159138 118318276 147897845 236636552 295795690 591591380 857807501 1183182760 1715615002 3431230004 4289037505 6862460008 8578075010 17156150020 34312300040