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1264040232 = 23371322112
BaseRepresentation
bin100101101010111…
…1011100100101000
310021002111220012220
41023111323210220
510042043241412
6325232434040
743216110330
oct11325734450
93232456186
101264040232
11599577154
122b33a8920
13171b57400
14bdc400c0
1575e8a68c
hex4b57b928

1264040232 has 144 divisors (see below), whose sum is σ = 3929346720. Its totient is φ = 331793280.

The previous prime is 1264040203. The next prime is 1264040251. The reversal of 1264040232 is 2320404621.

It is a super-2 number, since 2×12640402322 = 3195595416229227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5990607 + ... + 5990817.

It is an arithmetic number, because the mean of its divisors is an integer number (27287130).

Almost surely, 21264040232 is an apocalyptic number.

1264040232 is a gapful number since it is divisible by the number (12) 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 1264040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964673360).

1264040232 is an abundant number, since it is smaller than the sum of its proper divisors (2665306488).

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

1264040232 is a wasteful number, since it uses less digits than its factorization.

1264040232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1264040232 is about 35553.3434714655. The cubic root of 1264040232 is about 1081.2355064960.

Adding to 1264040232 its reverse (2320404621), we get a palindrome (3584444853).

The spelling of 1264040232 in words is "one billion, two hundred sixty-four million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 211 273 312 338 364 422 507 546 633 676 728 844 1014 1092 1183 1266 1352 1477 1688 2028 2184 2366 2532 2743 2954 3549 4056 4431 4732 5064 5486 5908 7098 8229 8862 9464 10972 11816 14196 16458 17724 19201 21944 28392 32916 35448 35659 38402 44521 57603 65832 71318 76804 89042 106977 115206 133563 142636 153608 178084 213954 230412 249613 267126 285272 311647 356168 427908 460824 499226 534252 578773 623294 748839 855816 934941 998452 1068504 1157546 1246588 1497678 1736319 1869882 1996904 2315092 2493176 2995356 3472638 3739764 4051411 4630184 5990712 6945276 7479528 7524049 8102822 12154233 13890552 15048098 16205644 22572147 24308466 30096196 32411288 45144294 48616932 52668343 60192392 90288588 97233864 105336686 158005029 180577176 210673372 316010058 421346744 632020116 1264040232