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34015342644 = 22324457211997
BaseRepresentation
bin11111101011011110…
…001111000000110100
310020210120212102222100
4133223132033000310
51024130411431034
623343150502100
72312634433113
oct375336170064
9106716772870
1034015342644
1113475857428
126713804930
1332912290aa
141909833c7a
15d413d0099
hex7eb78f034

34015342644 has 36 divisors (see below), whose sum is σ = 86002924644. Its totient is φ = 11335850112.

The previous prime is 34015342637. The next prime is 34015342663. The reversal of 34015342644 is 44624351043.

34015342644 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 5 + 3 + 4 + 2 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14306552100 + 19708790544 = 119610^2 + 140388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34015342599 and 34015342608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54454 + ... + 266450.

It is an arithmetic number, because the mean of its divisors is an integer number (2388970129).

Almost surely, 234015342644 is an apocalyptic number.

It is an amenable number.

34015342644 is an abundant number, since it is smaller than the sum of its proper divisors (51987582000).

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

34015342644 is a wasteful number, since it uses less digits than its factorization.

34015342644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216464 (or 216459 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34015342644 its reverse (44624351043), we get a palindrome (78639693687).

The spelling of 34015342644 in words is "thirty-four billion, fifteen million, three hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4457 8914 13371 17828 26742 40113 53484 80226 160452 211997 423994 635991 847988 1271982 1907973 2543964 3815946 7631892 944870629 1889741258 2834611887 3779482516 5669223774 8503835661 11338447548 17007671322 34015342644