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1331207424 = 2832577781
BaseRepresentation
bin100111101011000…
…1001110100000000
310102202220100021200
41033112021310000
510211242114144
6340032221200
744663035131
oct11726116400
93382810250
101331207424
11623482928
1231199a800
13182a43701
14c8b25c88
157bd06c69
hex4f589d00

1331207424 has 54 divisors (see below), whose sum is σ = 3838205826. Its totient is φ = 443735040.

The previous prime is 1331207419. The next prime is 1331207447. The reversal of 1331207424 is 4247021331.

It is a happy number.

1331207424 is a `hidden beast` number, since 1 + 3 + 31 + 207 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1034265600 + 296941824 = 32160^2 + 17232^2 .

It is a super-2 number, since 2×13312074242 = 3544226411425431552, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 286587 + ... + 291194.

Almost surely, 21331207424 is an apocalyptic number.

It is an amenable number.

1331207424 is an abundant number, since it is smaller than the sum of its proper divisors (2506998402).

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

1331207424 is an equidigital number, since it uses as much as digits as its factorization.

1331207424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577803 (or 577786 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1331207424 is about 36485.7153417608. The cubic root of 1331207424 is about 1100.0571386297.

Adding to 1331207424 its reverse (4247021331), we get a palindrome (5578228755).

The spelling of 1331207424 in words is "one billion, three hundred thirty-one million, two hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 577781 1155562 1733343 2311124 3466686 4622248 5200029 6933372 9244496 10400058 13866744 18488992 20800116 27733488 36977984 41600232 55466976 73955968 83200464 110933952 147911936 166400928 221867904 332801856 443735808 665603712 1331207424