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1304444412 = 22353143291
BaseRepresentation
bin100110111000000…
…0011110111111100
310100220112122100000
41031300003313330
510132414210122
6333234434300
744216410635
oct11560036774
93326478300
101304444412
1160a363437
12304a32990
1317a332bcb
14c535a88c
15797bc0ac
hex4dc03dfc

1304444412 has 72 divisors (see below), whose sum is σ = 3529856512. Its totient is φ = 420778800.

The previous prime is 1304444399. The next prime is 1304444417. The reversal of 1304444412 is 2144444031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304444417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8487 + ... + 51777.

Almost surely, 21304444412 is an apocalyptic number.

1304444412 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 1304444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764928256).

1304444412 is an abundant number, since it is smaller than the sum of its proper divisors (2225412100).

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

1304444412 is a wasteful number, since it uses less digits than its factorization.

1304444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43341 (or 43327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1304444412 is about 36117.0930723944. The cubic root of 1304444412 is about 1092.6352118797.

Adding to 1304444412 its reverse (2144444031), we get a palindrome (3448888443).

The spelling of 1304444412 in words is "one billion, three hundred four million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 43291 86582 129873 173164 259746 389619 519492 779238 1168857 1342021 1558476 2337714 2684042 3506571 4026063 4675428 5368084 7013142 8052126 10519713 12078189 14026284 16104252 21039426 24156378 36234567 42078852 48312756 72469134 108703701 144938268 217407402 326111103 434814804 652222206 1304444412