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1304240400 = 243352120763
BaseRepresentation
bin100110110111101…
…0010000100010000
310100220011021111000
41031233102010100
510132341143100
6333230222000
744214601101
oct11557220420
93326137430
101304240400
1160a234131
12304954900
1317a2910a8
14c53063a8
157977b900
hex4dbd2110

1304240400 has 120 divisors (see below), whose sum is σ = 4642168160. Its totient is φ = 347794560.

The previous prime is 1304240387. The next prime is 1304240423. The reversal of 1304240400 is 40424031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 49582 + ... + 71181.

Almost surely, 21304240400 is an apocalyptic number.

1304240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304240400 is an abundant number, since it is smaller than the sum of its proper divisors (3337927760).

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

1304240400 is a wasteful number, since it uses less digits than its factorization.

1304240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120790 (or 120773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1304240400 is about 36114.2686482781. The cubic root of 1304240400 is about 1092.5782470614.

Adding to 1304240400 its reverse (40424031), we get a palindrome (1344664431).

The spelling of 1304240400 in words is "one billion, three hundred four million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 120763 241526 362289 483052 603815 724578 966104 1086867 1207630 1449156 1811445 1932208 2173734 2415260 2898312 3019075 3260601 3622890 4347468 4830520 5434335 5796624 6038150 6521202 7245780 8694936 9057225 9661040 10868670 12076300 13042404 14491560 16303005 17389872 18114450 21737340 24152600 26084808 27171675 28983120 32606010 36228900 43474680 48305200 52169616 54343350 65212020 72457800 81515025 86949360 108686700 130424040 144915600 163030050 217373400 260848080 326060100 434746800 652120200 1304240400