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1304231320 = 2357411031103
BaseRepresentation
bin100110110111100…
…1111110110011000
310100220010211000201
41031233033312120
510132340400240
6333230111544
744214532450
oct11557176630
93326124021
101304231320
1160a228327
1230494b5b4
1317a289c12
14c5302d60
1579778d9a
hex4dbcfd98

1304231320 has 128 divisors (see below), whose sum is σ = 3472035840. Its totient is φ = 431631360.

The previous prime is 1304231317. The next prime is 1304231339. The reversal of 1304231320 is 231324031.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1181889 + ... + 1182991.

It is an arithmetic number, because the mean of its divisors is an integer number (27125280).

Almost surely, 21304231320 is an apocalyptic number.

1304231320 is a gapful number since it is divisible by the number (10) 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 1304231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736017920).

1304231320 is an abundant number, since it is smaller than the sum of its proper divisors (2167804520).

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

1304231320 is a wasteful number, since it uses less digits than its factorization.

1304231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1304231320 is about 36114.1429359745. The cubic root of 1304231320 is about 1092.5757115796.

Adding to 1304231320 its reverse (231324031), we get a palindrome (1535555351).

The spelling of 1304231320 in words is "one billion, three hundred four million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 103 140 164 205 206 280 287 328 410 412 515 574 721 820 824 1030 1103 1148 1435 1442 1640 2060 2206 2296 2870 2884 3605 4120 4223 4412 5515 5740 5768 7210 7721 8446 8824 11030 11480 14420 15442 16892 21115 22060 28840 29561 30884 33784 38605 42230 44120 45223 59122 61768 77210 84460 90446 113609 118244 147805 154420 168920 180892 226115 227218 236488 295610 308840 316561 361784 452230 454436 568045 591220 633122 795263 904460 908872 1136090 1182440 1266244 1582805 1590526 1808920 2272180 2532488 3165610 3181052 3976315 4544360 4657969 6331220 6362104 7952630 9315938 12662440 15905260 18631876 23289845 31810520 32605783 37263752 46579690 65211566 93159380 130423132 163028915 186318760 260846264 326057830 652115660 1304231320