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34044442344 = 23331114328469
BaseRepresentation
bin11111101101001101…
…001111011011101000
310020212121121212021000
4133231031033123220
51024210334123334
623350110315000
72313436661643
oct375515173350
9106777555230
1034044442344
1113490222470
1267214b8a60
133297277353
14190d64aa5a
15d43c2c299
hex7ed34f6e8

34044442344 has 64 divisors (see below), whose sum is σ = 103164984000. Its totient is φ = 10316496960.

The previous prime is 34044442321. The next prime is 34044442349. The reversal of 34044442344 is 44324444043.

34044442344 is a `hidden beast` number, since 340 + 44 + 44 + 234 + 4 = 666.

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 = 34044442299 and 34044442308.

It is not an unprimeable number, because it can be changed into a prime (34044442349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7161859 + ... + 7166610.

It is an arithmetic number, because the mean of its divisors is an integer number (1611952875).

Almost surely, 234044442344 is an apocalyptic number.

It is an amenable number.

34044442344 is an abundant number, since it is smaller than the sum of its proper divisors (69120541656).

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

34044442344 is a wasteful number, since it uses less digits than its factorization.

34044442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328495 (or 14328485 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 34044442344 its reverse (44324444043), we get a palindrome (78368886387).

The spelling of 34044442344 in words is "thirty-four billion, forty-four million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 14328469 28656938 42985407 57313876 85970814 114627752 128956221 157613159 171941628 257912442 315226318 343883256 386868663 472839477 515824884 630452636 773737326 945678954 1031649768 1260905272 1418518431 1547474652 1891357908 2837036862 3094949304 3782715816 4255555293 5674073724 8511110586 11348147448 17022221172 34044442344