Search a number
-
+
34214078452 = 224761101109271
BaseRepresentation
bin11111110111010100…
…010110011111110100
310021022102211021020211
4133313110112133310
51030032301002302
623415010235204
72320566603601
oct376724263764
9107272737224
1034214078452
1113567a565a4
12676a285b04
1332c345cb48
141927da76a8
15d53a89ad7
hex7f75167f4

34214078452 has 96 divisors (see below), whose sum is σ = 63575930880. Its totient is φ = 16096320000.

The previous prime is 34214078417. The next prime is 34214078471. The reversal of 34214078452 is 25487041243.

It is a super-2 number, since 2×342140784522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126251077 + ... + 126251347.

It is an arithmetic number, because the mean of its divisors is an integer number (662249280).

Almost surely, 234214078452 is an apocalyptic number.

It is an amenable number.

34214078452 is a deficient number, since it is larger than the sum of its proper divisors (29361852428).

34214078452 is a wasteful number, since it uses less digits than its factorization.

34214078452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 34214078452 in words is "thirty-four billion, two hundred fourteen million, seventy-eight thousand, four hundred fifty-two".

Divisors: 1 2 4 47 61 94 101 109 122 188 202 218 244 271 404 436 542 1084 2867 4747 5123 5734 6161 6649 9494 10246 11009 11468 12322 12737 13298 16531 18988 20492 22018 24644 25474 26596 27371 29539 33062 44036 50948 54742 59078 66124 109484 118156 289567 312503 517423 579134 625006 671549 776957 1034846 1158268 1250012 1286437 1343098 1388333 1553914 1669631 1801879 2069692 2572874 2686196 2776666 2983439 3107828 3339262 3603758 5145748 5553332 5966878 6678524 7207516 11933756 31562803 63125606 78472657 84688313 126251212 140221633 156945314 169376626 181989779 280443266 313890628 338753252 363979558 560886532 727959116 8553519613 17107039226 34214078452