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1214431350 = 2352115711289
BaseRepresentation
bin100100001100010…
…1100000001110110
310010122011111121220
41020120230001312
54441343300400
6320301251210
742044332116
oct11030540166
93118144556
101214431350
11573573280
1229a863b06
131647a8042
14b7409046
157193b7a0
hex4862c076

1214431350 has 96 divisors (see below), whose sum is σ = 3293896320. Its totient is φ = 293664000.

The previous prime is 1214431333. The next prime is 1214431369. The reversal of 1214431350 is 531344121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1214431350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941506 + ... + 942794.

It is an arithmetic number, because the mean of its divisors is an integer number (34311420).

Almost surely, 21214431350 is an apocalyptic number.

1214431350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646948160).

1214431350 is an abundant number, since it is smaller than the sum of its proper divisors (2079464970).

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

1214431350 is a wasteful number, since it uses less digits than its factorization.

1214431350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1214431350 is about 34848.6922279732. The cubic root of 1214431350 is about 1066.9014939803.

Adding to 1214431350 its reverse (531344121), we get a palindrome (1745775471).

The spelling of 1214431350 in words is "one billion, two hundred fourteen million, four hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 571 825 1142 1289 1650 1713 2578 2855 3426 3867 5710 6281 6445 7734 8565 12562 12890 14179 14275 17130 18843 19335 28358 28550 31405 32225 37686 38670 42537 42825 62810 64450 70895 85074 85650 94215 96675 141790 157025 188430 193350 212685 314050 354475 425370 471075 708950 736019 942150 1063425 1472038 2126850 2208057 3680095 4416114 7360190 8096209 11040285 16192418 18400475 22080570 24288627 36800950 40481045 48577254 55201425 80962090 110402850 121443135 202405225 242886270 404810450 607215675 1214431350