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34303222032 = 2434121182609
BaseRepresentation
bin11111111100101000…
…011010000100010000
310021112122120020020220
4133330220122010100
51030223111101112
623431513033040
72323031401452
oct377450320420
9107478506226
1034303222032
1113603302482
1267940b5780
133308a72021
141935b702d2
15d5b7e798c
hex7fca1a110

34303222032 has 80 divisors (see below), whose sum is σ = 91209370560. Its totient is φ = 11102515200.

The previous prime is 34303222027. The next prime is 34303222043. The reversal of 34303222032 is 23022230343.

It is a happy number.

It is a super-2 number, since 2×343032220322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34303221993 and 34303222011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373944 + ... + 456552.

It is an arithmetic number, because the mean of its divisors is an integer number (1140117132).

Almost surely, 234303222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34303222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45604685280).

34303222032 is an abundant number, since it is smaller than the sum of its proper divisors (56906148528).

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

34303222032 is a wasteful number, since it uses less digits than its factorization.

34303222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82872 (or 82866 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34303222032 its reverse (23022230343), we get a palindrome (57325452375).

The spelling of 34303222032 in words is "thirty-four billion, three hundred three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 211 246 328 422 492 633 656 844 984 1266 1688 1968 2532 3376 5064 8651 10128 17302 25953 34604 51906 69208 82609 103812 138416 165218 207624 247827 330436 415248 495654 660872 991308 1321744 1982616 3386969 3965232 6773938 10160907 13547876 17430499 20321814 27095752 34860998 40643628 52291497 54191504 69721996 81287256 104582994 139443992 162574512 209165988 278887984 418331976 714650459 836663952 1429300918 2143951377 2858601836 4287902754 5717203672 8575805508 11434407344 17151611016 34303222032