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1264325328 = 243373113487
BaseRepresentation
bin100101101011100…
…0001001011010000
310021010001101022000
41023113001023100
510042131402303
6325242514000
743221405450
oct11327011320
93233041260
101264325328
11599751372
122b3505900
13171c270c6
14bdcb5d60
1575ee4da3
hex4b5c12d0

1264325328 has 160 divisors (see below), whose sum is σ = 4281630720. Its totient is φ = 349557120.

The previous prime is 1264325317. The next prime is 1264325353. The reversal of 1264325328 is 8235234621.

1264325328 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 325 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1264325292 and 1264325301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87001 + ... + 100487.

It is an arithmetic number, because the mean of its divisors is an integer number (26760192).

Almost surely, 21264325328 is an apocalyptic number.

1264325328 is a gapful number since it is divisible by the number (18) 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 1264325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140815360).

1264325328 is an abundant number, since it is smaller than the sum of its proper divisors (3017305392).

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

1264325328 is a wasteful number, since it uses less digits than its factorization.

1264325328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542 (or 13530 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1264325328 is about 35557.3526573619. The cubic root of 1264325328 is about 1081.3167889157.

Adding to 1264325328 its reverse (8235234621), we get a palindrome (9499559949).

The spelling of 1264325328 in words is "one billion, two hundred sixty-four million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 13487 15624 23436 26974 31248 40461 46872 53948 80922 93744 94409 107896 121383 161844 188818 215792 242766 283227 323688 364149 377636 418097 485532 566454 647376 728298 755272 836194 849681 971064 1132908 1254291 1456596 1510544 1672388 1699362 1942128 2265816 2508582 2549043 2913192 2926679 3344776 3398724 3762873 4531632 5017164 5098086 5826384 5853358 6689552 6797448 7525746 8780037 10034328 10196172 11288619 11706716 13594896 15051492 17560074 20068656 20392344 22577238 23413432 26340111 30102984 35120148 40784688 45154476 46826864 52680222 60205968 70240296 79020333 90308952 105360444 140480592 158040666 180617904 210720888 316081332 421441776 632162664 1264325328