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34440022032 = 24313412913367
BaseRepresentation
bin100000000100110010…
…010000100000010000
310021220011222101120120
4200010302100200100
51031013121201112
623453241110240
72326312233333
oct400462204020
9107804871516
1034440022032
1113673549329
126811a88380
13332b1cb980
141949dc061a
15d6881ae8c
hex804c90810

34440022032 has 80 divisors (see below), whose sum is σ = 95844282240. Its totient is φ = 10593570816.

The previous prime is 34440022027. The next prime is 34440022051. The reversal of 34440022032 is 23022004443.

It is a super-2 number, since 2×344400220322 (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 = 34440021993 and 34440022011.

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, 2569813 + ... + 2583179.

It is an arithmetic number, because the mean of its divisors is an integer number (1198053528).

Almost surely, 234440022032 is an apocalyptic number.

It is an amenable number.

34440022032 is an abundant number, since it is smaller than the sum of its proper divisors (61404260208).

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

34440022032 is a wasteful number, since it uses less digits than its factorization.

34440022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34440022032 its reverse (23022004443), we get a palindrome (57462026475).

The spelling of 34440022032 in words is "thirty-four billion, four hundred forty million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4129 8258 12387 13367 16516 24774 26734 33032 40101 49548 53468 53677 66064 80202 99096 106936 107354 160404 161031 173771 198192 213872 214708 320808 322062 347542 429416 521313 641616 644124 695084 858832 1042626 1288248 1390168 2085252 2576496 2780336 4170504 8341008 55192343 110384686 165577029 220769372 331154058 441538744 662308116 717500459 883077488 1324616232 1435000918 2152501377 2649232464 2870001836 4305002754 5740003672 8610005508 11480007344 17220011016 34440022032