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34289312240 = 245598171663
BaseRepresentation
bin11111111011110011…
…010110000111110000
310021111200101112121102
4133323303112013300
51030211030442430
623430254543532
72322502226231
oct377363260760
9107450345542
1034289312240
11135a6471887
12678b507ba8
133305c11991
141933d8d088
15d5a49b345
hex7fbcd61f0

34289312240 has 40 divisors (see below), whose sum is σ = 79737092928. Its totient is φ = 13713240320.

The previous prime is 34289312231. The next prime is 34289312243. The reversal of 34289312240 is 4221398243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34289312194 and 34289312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34289312243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442649 + ... + 514311.

Almost surely, 234289312240 is an apocalyptic number.

It is an amenable number.

34289312240 is an abundant number, since it is smaller than the sum of its proper divisors (45447780688).

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

34289312240 is a wasteful number, since it uses less digits than its factorization.

34289312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77657 (or 77651 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 34289312240 in words is "thirty-four billion, two hundred eighty-nine million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5981 11962 23924 29905 47848 59810 71663 95696 119620 143326 239240 286652 358315 478480 573304 716630 1146608 1433260 2866520 5733040 428616403 857232806 1714465612 2143082015 3428931224 4286164030 6857862448 8572328060 17144656120 34289312240