Search a number
-
+
34620202404 = 22321973787881
BaseRepresentation
bin100000001111100001…
…100101110110100100
310022100202000111120200
4200033201211312210
51031400232434104
623523155030500
72333630602464
oct401741456644
9108322014520
1034620202404
1113756224527
12686229b430
133359636988
141965cc3ba4
15d7955cb39
hex80f865da4

34620202404 has 144 divisors (see below), whose sum is σ = 93604754880. Its totient is φ = 10757007360.

The previous prime is 34620202399. The next prime is 34620202417. The reversal of 34620202404 is 40420202643.

34620202404 is a `hidden beast` number, since 34 + 6 + 20 + 202 + 404 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39296044 + ... + 39296924.

It is an arithmetic number, because the mean of its divisors is an integer number (650033020).

Almost surely, 234620202404 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 34620202404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46802377440).

34620202404 is an abundant number, since it is smaller than the sum of its proper divisors (58984552476).

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

34620202404 is a wasteful number, since it uses less digits than its factorization.

34620202404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 34620202404 in words is "thirty-four billion, six hundred twenty million, two hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 228 292 342 438 657 684 787 876 881 1314 1387 1574 1762 2361 2628 2643 2774 3148 3524 4161 4722 5286 5548 7083 7929 8322 9444 10572 12483 14166 14953 15858 16644 16739 24966 28332 29906 31716 33478 44859 49932 50217 57451 59812 64313 66956 89718 100434 114902 128626 134577 150651 172353 179436 192939 200868 229804 257252 269154 301302 344706 385878 517059 538308 578817 602604 689412 693347 771756 1034118 1091569 1157634 1221947 1386694 2068236 2080041 2183138 2315268 2443894 2773388 3274707 3665841 4160082 4366276 4887788 6240123 6549414 7331682 8320164 9824121 10997523 12480246 13098828 13173593 14663364 19648242 21995046 24960492 26347186 39296484 39520779 43990092 50614331 52694372 79041558 101228662 118562337 151842993 158083116 202457324 237124674 303685986 455528979 474249348 607371972 911057958 961672289 1822115916 1923344578 2885016867 3846689156 5770033734 8655050601 11540067468 17310101202 34620202404