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34344423140 = 22513712534461
BaseRepresentation
bin11111111111000101…
…100100111011100100
310021122112002110112212
4133333011210323210
51030314133020030
623435544102552
72324041531346
oct377705447344
9107575073485
1034344423140
1113624593485
1267a5a64a58
133314469491
14193b417296
15d60235595
hex7ff164ee4

34344423140 has 24 divisors (see below), whose sum is σ = 72649741752. Its totient is φ = 13637492480.

The previous prime is 34344423097. The next prime is 34344423151. The reversal of 34344423140 is 4132444343.

It can be written as a sum of positive squares in 4 ways, for example, as 1206589696 + 33137833444 = 34736^2 + 182038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34344423097 and 34344423106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6264491 + ... + 6269970.

It is an arithmetic number, because the mean of its divisors is an integer number (3027072573).

Almost surely, 234344423140 is an apocalyptic number.

It is an amenable number.

34344423140 is an abundant number, since it is smaller than the sum of its proper divisors (38305318612).

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

34344423140 is a wasteful number, since it uses less digits than its factorization.

34344423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534607 (or 12534605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34344423140 its reverse (4132444343), we get a palindrome (38476867483).

The spelling of 34344423140 in words is "thirty-four billion, three hundred forty-four million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 12534461 25068922 50137844 62672305 125344610 250689220 1717221157 3434442314 6868884628 8586105785 17172211570 34344423140