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34410194442 = 2331323770567
BaseRepresentation
bin100000000011000000…
…011110011000001010
310021211002211222211000
4200003000132120022
51030433002210232
623450253515430
72325500553411
oct400300363012
9107732758730
1034410194442
1113658726428
126803aa2b76
133324c87300
141946058478
15d65dc827c
hex80301e60a

34410194442 has 48 divisors (see below), whose sum is σ = 82801673280. Its totient is φ = 10587749328.

The previous prime is 34410194431. The next prime is 34410194447. The reversal of 34410194442 is 24449101443.

It is a happy number.

It is a super-2 number, since 2×344101944422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34410194397 and 34410194406.

It is not an unprimeable number, because it can be changed into a prime (34410194447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876158 + ... + 1894409.

It is an arithmetic number, because the mean of its divisors is an integer number (1725034860).

Almost surely, 234410194442 is an apocalyptic number.

34410194442 is an abundant number, since it is smaller than the sum of its proper divisors (48391478838).

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

34410194442 is a wasteful number, since it uses less digits than its factorization.

34410194442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770604 (or 3770585 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 34410194442 its reverse (24449101443), we get a palindrome (58859295885).

The spelling of 34410194442 in words is "thirty-four billion, four hundred ten million, one hundred ninety-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 3770567 7541134 11311701 22623402 33935103 49017371 67870206 98034742 101805309 147052113 203610618 294104226 441156339 637225823 882312678 1274451646 1323469017 1911677469 2646938034 3823354938 5735032407 11470064814 17205097221 34410194442