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1304401332 = 2231327773011
BaseRepresentation
bin100110110111111…
…1001010110110100
310100220110110020110
41031233321112310
510132411320312
6333233503020
744216141223
oct11557712664
93326413213
101304401332
1160a334033
12304a11a70
1317a319410
14c5348cba
15797ae43c
hex4dbf95b4

1304401332 has 48 divisors (see below), whose sum is σ = 3279995712. Its totient is φ = 401076480.

The previous prime is 1304401331. The next prime is 1304401333. The reversal of 1304401332 is 2331044031.

It is an interprime number because it is at equal distance from previous prime (1304401331) and next prime (1304401333).

It is a junction number, because it is equal to n+sod(n) for n = 1304401299 and 1304401308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304401331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431707 + ... + 434717.

It is an arithmetic number, because the mean of its divisors is an integer number (68333244).

Almost surely, 21304401332 is an apocalyptic number.

1304401332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1304401332 is an abundant number, since it is smaller than the sum of its proper divisors (1975594380).

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

1304401332 is a wasteful number, since it uses less digits than its factorization.

1304401332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1304401332 is about 36116.4966739577. The cubic root of 1304401332 is about 1092.6231834528.

Adding to 1304401332 its reverse (2331044031), we get a palindrome (3635445363).

The spelling of 1304401332 in words is "one billion, three hundred four million, four hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2777 3011 5554 6022 8331 9033 11108 12044 16662 18066 33324 36101 36132 39143 72202 78286 108303 117429 144404 156572 216606 234858 433212 469716 8361547 16723094 25084641 33446188 50169282 100338564 108700111 217400222 326100333 434800444 652200666 1304401332