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34020140652 = 223231734091021
BaseRepresentation
bin11111101011110000…
…100010011001101100
310020210220220012121100
4133223300202121230
51024133124000102
623343441403100
72313023265351
oct375360423154
9106726805540
1034020140652
1113478534223
126715339490
133292218c54
14190a322628
15d41a2ba1c
hex7ebc2266c

34020140652 has 144 divisors (see below), whose sum is σ = 90293781760. Its totient is φ = 10786867200.

The previous prime is 34020140633. The next prime is 34020140701. The reversal of 34020140652 is 25604102043.

34020140652 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 0 + 1 + 4 + 0 + 652 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33319902 + ... + 33320922.

Almost surely, 234020140652 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 34020140652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45146890880).

34020140652 is an abundant number, since it is smaller than the sum of its proper divisors (56273641108).

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

34020140652 is a wasteful number, since it uses less digits than its factorization.

34020140652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34020140652 its reverse (25604102043), we get a palindrome (59624242695).

The spelling of 34020140652 in words is "thirty-four billion, twenty million, one hundred forty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 409 438 558 657 818 876 1021 1116 1227 1314 1636 2042 2263 2454 2628 3063 3681 4084 4526 4908 6126 6789 7362 9052 9189 12252 12679 13578 14724 18378 20367 25358 27156 29857 31651 36756 38037 40734 50716 59714 63302 74533 76074 81468 89571 94953 114111 119428 126604 149066 152148 179142 189906 223599 228222 268713 284859 298132 358284 379812 417589 447198 456444 537426 569718 670797 835178 894396 925567 1074852 1139436 1252767 1341594 1670356 1851134 2310523 2505534 2683188 2776701 3702268 3758301 4621046 5011068 5553402 6931569 7516602 8330103 9242092 11106804 12945259 13863138 15033204 16660206 20794707 25890518 27726276 30483997 33320412 38835777 41589414 51781036 60967994 77671554 83178828 91451991 116507331 121935988 155343108 182903982 233014662 274355973 365807964 466029324 548711946 945003907 1097423892 1890007814 2835011721 3780015628 5670023442 8505035163 11340046884 17010070326 34020140652