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1263398304 = 25373160647
BaseRepresentation
bin100101101001101…
…1110110110100000
310021001022021122210
41023103132312200
510041412221204
6325211002120
743210464660
oct11323366640
93231267583
101263398304
11599178933
122b3139340
1317199117c
14bdb141a0
1575db0389
hex4b4deda0

1263398304 has 96 divisors (see below), whose sum is σ = 3912523776. Its totient is φ = 349320960.

The previous prime is 1263398287. The next prime is 1263398359. The reversal of 1263398304 is 4038933621.

1263398304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9492 + ... + 51155.

It is an arithmetic number, because the mean of its divisors is an integer number (40755456).

Almost surely, 21263398304 is an apocalyptic number.

1263398304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956261888).

1263398304 is an abundant number, since it is smaller than the sum of its proper divisors (2649125472).

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

1263398304 is a wasteful number, since it uses less digits than its factorization.

1263398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60698 (or 60690 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1263398304 is about 35544.3146508693. The cubic root of 1263398304 is about 1081.0524445822.

The spelling of 1263398304 in words is "one billion, two hundred sixty-three million, three hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 60647 121294 181941 242588 363882 424529 485176 727764 849058 970352 1273587 1455528 1698116 1880057 1940704 2547174 2911056 3396232 3760114 5094348 5640171 5822112 6792464 7520228 10188696 11280342 13160399 13584928 15040456 20377392 22560684 26320798 30080912 39481197 40754784 45121368 52641596 60161824 78962394 90242736 105283192 157924788 180485472 210566384 315849576 421132768 631699152 1263398304