Search a number
-
+
1303450656 = 253175913537
BaseRepresentation
bin100110110110001…
…0001010000100000
310100211200011011020
41031230101100200
510132140410111
6333201245440
744205101454
oct11554212040
93324604136
101303450656
11609844852
12304633880
1317a0757a1
14c517c664
1579672906
hex4db11420

1303450656 has 96 divisors (see below), whose sum is σ = 3684502080. Its totient is φ = 401965056.

The previous prime is 1303450637. The next prime is 1303450661. The reversal of 1303450656 is 6560543031.

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

It is a super-2 number, since 2×13034506562 = 3397967225253660672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89520 + ... + 103056.

It is an arithmetic number, because the mean of its divisors is an integer number (38380230).

Almost surely, 21303450656 is an apocalyptic number.

1303450656 is a gapful number since it is divisible by the number (16) 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 1303450656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842251040).

1303450656 is an abundant number, since it is smaller than the sum of its proper divisors (2381051424).

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

1303450656 is a wasteful number, since it uses less digits than its factorization.

1303450656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13626 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 1303450656 is about 36103.3330317299. Note that the first 3 decimals coincide. The cubic root of 1303450656 is about 1092.3576764435.

Adding to 1303450656 its reverse (6560543031), we get a palindrome (7863993687).

The spelling of 1303450656 in words is "one billion, three hundred three million, four hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 354 408 472 544 708 816 944 1003 1416 1632 1888 2006 2832 3009 4012 5664 6018 8024 12036 13537 16048 24072 27074 32096 40611 48144 54148 81222 96288 108296 162444 216592 230129 324888 433184 460258 649776 690387 798683 920516 1299552 1380774 1597366 1841032 2396049 2761548 3194732 3682064 4792098 5523096 6389464 7364128 9584196 11046192 12778928 13577611 19168392 22092384 25557856 27155222 38336784 40732833 54310444 76673568 81465666 108620888 162931332 217241776 325862664 434483552 651725328 1303450656