[go: up one dir, main page]

Search a number
-
+
3234964304 = 24111343131251
BaseRepresentation
bin1100000011010001…
…1010001101010000
322100110011012202202
43000310122031100
523111122324204
61253000302332
7143110512545
oct30064321520
98313135682
103234964304
111410064620
127634719a8
133c7291280
142298cabcc
1513e007e1e
hexc0d1a350

3234964304 has 160 divisors (see below), whose sum is σ = 7622512128. Its totient is φ = 1310400000.

The previous prime is 3234964303. The next prime is 3234964307. The reversal of 3234964304 is 4034694323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234964303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12888179 + ... + 12888429.

Almost surely, 23234964304 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 3234964304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064).

3234964304 is an abundant number, since it is smaller than the sum of its proper divisors (4387547824).

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

3234964304 is a wasteful number, since it uses less digits than its factorization.

3234964304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The square root of 3234964304 is about 56876.7466017528. The cubic root of 3234964304 is about 1478.9602363347.

The spelling of 3234964304 in words is "three billion, two hundred thirty-four million, nine hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 43 44 52 86 88 104 131 143 172 176 208 251 262 286 344 473 502 524 559 572 688 946 1004 1048 1118 1144 1441 1703 1892 2008 2096 2236 2288 2761 2882 3263 3406 3784 4016 4472 5522 5633 5764 6149 6526 6812 7568 8944 10793 11044 11266 11528 12298 13052 13624 18733 21586 22088 22532 23056 24596 26104 27248 32881 35893 37466 43172 44176 45064 49192 52208 61963 65762 71786 73229 74932 86344 90128 98384 118723 123926 131524 140309 143572 146458 149864 172688 237446 247852 263048 280618 287144 292916 299728 361691 427453 474892 495704 526096 561236 574288 585832 723382 805519 854906 949784 991408 1122472 1171664 1413883 1446764 1543399 1611038 1709812 1899568 2244944 2827766 2893528 3086798 3222076 3419624 4701983 5655532 5787056 6173596 6444152 6839248 9403966 11311064 12347192 12888304 15552713 18380479 18807932 22622128 24694384 31105426 36760958 37615864 62210852 73521916 75231728 124421704 147043832 202185269 248843408 294087664 404370538 808741076 1617482152 3234964304