Search a number
-
+
32341676044 = 221719237115329
BaseRepresentation
bin11110000111101101…
…101101000000001100
310002110221120101000111
4132013231231000030
51012213432113134
622505122205404
72223312465466
oct360755550014
9102427511014
1032341676044
111279703a997
1263271b3864
13308556c922
1417cb445136
15c944cdc64
hex787b6d00c

32341676044 has 96 divisors (see below), whose sum is σ = 66755404800. Its totient is φ = 13596549120.

The previous prime is 32341676023. The next prime is 32341676057. The reversal of 32341676044 is 44067614323.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32341675988 and 32341676006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102172 + ... + 2117500.

It is an arithmetic number, because the mean of its divisors is an integer number (695368800).

Almost surely, 232341676044 is an apocalyptic number.

32341676044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32341676044 is an abundant number, since it is smaller than the sum of its proper divisors (34413728756).

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

32341676044 is a wasteful number, since it uses less digits than its factorization.

32341676044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15463 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 32341676044 in words is "thirty-two billion, three hundred forty-one million, six hundred seventy-six thousand, forty-four".

Divisors: 1 2 4 17 19 23 34 38 46 68 71 76 92 142 284 323 391 437 646 782 874 1207 1292 1349 1564 1633 1748 2414 2698 3266 4828 5396 6532 7429 14858 15329 22933 27761 29716 30658 31027 45866 55522 61316 62054 91732 111044 124108 260593 291251 352567 521186 527459 582502 705134 1042372 1054918 1088359 1165004 1410268 2109836 2176718 4353436 4951267 5993639 6698773 9902534 11987278 13397546 18502103 19805068 20678821 23974556 25032257 26795092 37004206 41357642 50064514 74008412 82715284 100129028 113879141 227758282 351539957 425548369 455516564 475612883 703079914 851096738 951225766 1406159828 1702193476 1902451532 8085419011 16170838022 32341676044