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2932930368 = 263211345061
BaseRepresentation
bin1010111011010000…
…1111011101000000
321120101211022002200
42232310033131000
522001312232433
61203010513200
7132452332254
oct25664173500
97511738080
102932930368
111275620aa5
1269a295800
13379830774
141db748264
15122746613
hexaed0f740

2932930368 has 84 divisors (see below), whose sum is σ = 8481299268. Its totient is φ = 968970240.

The previous prime is 2932930361. The next prime is 2932930373. The reversal of 2932930368 is 8630392392.

2932930368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1232852544 + 1700077824 = 35112^2 + 41232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2932930361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42558 + ... + 87618.

Almost surely, 22932930368 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 2932930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240649634).

2932930368 is an abundant number, since it is smaller than the sum of its proper divisors (5548368900).

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

2932930368 is a wasteful number, since it uses less digits than its factorization.

2932930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45192 (or 45179 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2932930368 is about 54156.5357828582. The cubic root of 2932930368 is about 1431.4205597594.

The spelling of 2932930368 in words is "two billion, nine hundred thirty-two million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 16272 21696 32544 45061 65088 90122 135183 180244 270366 360488 405549 540732 720976 811098 1081464 1441952 1622196 2162928 2883904 3244392 4325856 5091893 6488784 8651712 10183786 12977568 15275679 20367572 25955136 30551358 40735144 45827037 61102716 81470288 91654074 122205432 162940576 183308148 244410864 325881152 366616296 488821728 733232592 977643456 1466465184 2932930368