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1304300032 = 29741061
BaseRepresentation
bin100110110111110…
…0000101000000000
310100220021022021121
41031233200220000
510132400100112
6333231402024
744215240000
oct11557405000
93326238247
101304300032
1160a274a12
12304983314
1317a2b2289
14c5320000
157978e407
hex4dbe0a00

1304300032 has 100 divisors (see below), whose sum is σ = 3043079226. Its totient is φ = 558458880.

The previous prime is 1304300029. The next prime is 1304300051. The reversal of 1304300032 is 2300034031.

It can be written as a sum of positive squares in only one way, i.e., 1033236736 + 271063296 = 32144^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1304299979 and 1304300015.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1228782 + ... + 1229842.

Almost surely, 21304300032 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 1304300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521539613).

1304300032 is an abundant number, since it is smaller than the sum of its proper divisors (1738779194).

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

1304300032 is an frugal number, since it uses more digits than its factorization.

1304300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1304300032 is about 36115.0942404973. The cubic root of 1304300032 is about 1092.5948982946.

Adding to 1304300032 its reverse (2300034031), we get a palindrome (3604334063).

The spelling of 1304300032 in words is "one billion, three hundred four million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1061 1372 1568 1792 2122 2401 2744 3136 3584 4244 4802 5488 6272 7427 8488 9604 10976 12544 14854 16976 19208 21952 25088 29708 33952 38416 43904 51989 59416 67904 76832 87808 103978 118832 135808 153664 175616 207956 237664 271616 307328 363923 415912 475328 543232 614656 727846 831824 950656 1229312 1455692 1663648 1901312 2547461 2911384 3327296 3802624 5094922 5822768 6654592 10189844 11645536 13309184 20379688 23291072 26618368 40759376 46582144 81518752 93164288 163037504 186328576 326075008 652150016 1304300032