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1304241435 = 325717923131
BaseRepresentation
bin100110110111101…
…0010010100011011
310100220011022220100
41031233102110123
510132341211220
6333230230443
744214604110
oct11557222433
93326138810
101304241435
1160a234992
12304955423
1317a2916c3
14c5306907
157977bd90
hex4dbd251b

1304241435 has 48 divisors (see below), whose sum is σ = 2598186240. Its totient is φ = 592868160.

The previous prime is 1304241413. The next prime is 1304241457. The reversal of 1304241435 is 5341424031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1304241413) and next prime (1304241457).

It is not a de Polignac number, because 1304241435 - 27 = 1304241307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1304241399 and 1304241408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44820 + ... + 67950.

It is an arithmetic number, because the mean of its divisors is an integer number (54128880).

Almost surely, 21304241435 is an apocalyptic number.

1304241435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1304241435 is a deficient number, since it is larger than the sum of its proper divisors (1293944805).

1304241435 is a wasteful number, since it uses less digits than its factorization.

1304241435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1304241435 is about 36114.2829777915. The cubic root of 1304241435 is about 1092.5785360721.

Adding to 1304241435 its reverse (5341424031), we get a palindrome (6645665466).

The spelling of 1304241435 in words is "one billion, three hundred four million, two hundred forty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 179 315 537 895 1253 1611 2685 3759 6265 8055 11277 18795 23131 56385 69393 115655 161917 208179 346965 485751 809585 1040895 1457253 2428755 4140449 7286265 12421347 20702245 28983143 37264041 62106735 86949429 144915715 186320205 260848287 434747145 1304241435