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34311001144 = 2371933174593
BaseRepresentation
bin11111111101000110…
…000101010000111000
310021120012012110012011
4133331012011100320
51030232104014034
623432351455304
72323154461210
oct377506052070
9107505173164
1034311001144
1113607735aa2
126796827534
13330a566a54
141936bd7240
15d5c332864
hex7fd185438

34311001144 has 32 divisors (see below), whose sum is σ = 73904548320. Its totient is φ = 14628519936.

The previous prime is 34311001129. The next prime is 34311001171. The reversal of 34311001144 is 44110011343.

It is a happy number.

It is a congruent number.

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, 1576489 + ... + 1598104.

It is an arithmetic number, because the mean of its divisors is an integer number (2309517135).

Almost surely, 234311001144 is an apocalyptic number.

It is an amenable number.

34311001144 is an abundant number, since it is smaller than the sum of its proper divisors (39593547176).

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

34311001144 is a wasteful number, since it uses less digits than its factorization.

34311001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174799 (or 3174795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 34311001144 its reverse (44110011343), we get a palindrome (78421012487).

The spelling of 34311001144 in words is "thirty-four billion, three hundred eleven million, one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 193 386 772 1351 1544 2702 5404 10808 3174593 6349186 12698372 22222151 25396744 44444302 88888604 177777208 612696449 1225392898 2450785796 4288875143 4901571592 8577750286 17155500572 34311001144