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1321434240 = 2735798321
BaseRepresentation
bin100111011000011…
…0111110010000000
310102002111210222220
41032300313302000
510201241343430
6335042531040
744514001650
oct11660676200
93362453886
101321434240
11618a08115
1230a666a80
13180a01169
14c7700360
157b026110
hex4ec37c80

1321434240 has 128 divisors (see below), whose sum is σ = 4813845120. Its totient is φ = 302039040.

The previous prime is 1321434221. The next prime is 1321434251. The reversal of 1321434240 is 424341231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1321434240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35721 + ... + 62600.

It is an arithmetic number, because the mean of its divisors is an integer number (37608165).

Almost surely, 21321434240 is an apocalyptic number.

1321434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321434240 is an abundant number, since it is smaller than the sum of its proper divisors (3492410880).

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

1321434240 is an equidigital number, since it uses as much as digits as its factorization.

1321434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98350 (or 98338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1321434240 is about 36351.5369688821. The cubic root of 1321434240 is about 1097.3584661206.

Adding to 1321434240 its reverse (424341231), we get a palindrome (1745775471).

The spelling of 1321434240 in words is "one billion, three hundred twenty-one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 98321 196642 294963 393284 491605 589926 688247 786568 983210 1179852 1376494 1474815 1573136 1966420 2064741 2359704 2752988 2949630 3146272 3441235 3932840 4129482 4719408 5505976 5899260 6292544 6882470 7865680 8258964 9438816 10323705 11011952 11798520 12585088 13764940 15731360 16517928 18877632 20647410 22023904 23597040 27529880 31462720 33035856 37755264 41294820 44047808 47194080 55059760 62925440 66071712 82589640 88095616 94388160 110119520 132143424 165179280 188776320 220239040 264286848 330358560 440478080 660717120 1321434240