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34502001324 = 22372127745949
BaseRepresentation
bin100000001000011110…
…101100001010101100
310022001111121021011220
4200020132230022230
51031130003020244
623503333343340
72330664113100
oct401036541254
9108044537156
1034502001324
11136a553128a
12682a797b50
13333acbc7cb
141954315900
15d6deb0319
hex8087ac2ac

34502001324 has 72 divisors (see below), whose sum is σ = 93723663600. Its totient is φ = 9849780864.

The previous prime is 34502001241. The next prime is 34502001341. The reversal of 34502001324 is 42310020543.

It is a super-2 number, since 2×345020013242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34502001294 and 34502001303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727902 + ... + 773850.

It is an arithmetic number, because the mean of its divisors is an integer number (1301717550).

Almost surely, 234502001324 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 34502001324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46861831800).

34502001324 is an abundant number, since it is smaller than the sum of its proper divisors (59221662276).

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

34502001324 is a wasteful number, since it uses less digits than its factorization.

34502001324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47247 (or 47238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34502001324 its reverse (42310020543), we get a palindrome (76812021867).

The spelling of 34502001324 in words is "thirty-four billion, five hundred two million, one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1277 2554 3831 5108 7662 8939 15324 17878 26817 35756 45949 53634 62573 91898 107268 125146 137847 183796 187719 250292 275694 321643 375438 551388 643286 750876 964929 1286572 1929858 2251501 3859716 4503002 6754503 9006004 13509006 27018012 58676873 117353746 176030619 234707492 352061238 410738111 704122476 821476222 1232214333 1642952444 2464428666 2875166777 4928857332 5750333554 8625500331 11500667108 17251000662 34502001324