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1214403320 = 235132818311
BaseRepresentation
bin100100001100010…
…0101001011111000
310010122010002011202
41020120211023320
54441341401240
6320300513332
742044154314
oct11030451370
93118102152
101214403320
11573554209
1229a84b848
13164798360
14b73dcb44
1571933315
hex486252f8

1214403320 has 64 divisors (see below), whose sum is σ = 2953419840. Its totient is φ = 446745600.

The previous prime is 1214403283. The next prime is 1214403389. The reversal of 1214403320 is 233044121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1214403292 and 1214403301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 141965 + ... + 150275.

It is an arithmetic number, because the mean of its divisors is an integer number (46147185).

Almost surely, 21214403320 is an apocalyptic number.

1214403320 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 1214403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476709920).

1214403320 is an abundant number, since it is smaller than the sum of its proper divisors (1739016520).

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

1214403320 is a wasteful number, since it uses less digits than its factorization.

1214403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1214403320 is about 34848.2900584806. The cubic root of 1214403320 is about 1066.8932856176.

Adding to 1214403320 its reverse (233044121), we get a palindrome (1447447441).

The spelling of 1214403320 in words is "one billion, two hundred fourteen million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 281 520 562 1124 1405 2248 2810 3653 5620 7306 8311 11240 14612 16622 18265 29224 33244 36530 41555 66488 73060 83110 108043 146120 166220 216086 332440 432172 540215 864344 1080430 2160860 2335391 4321720 4670782 9341564 11676955 18683128 23353910 30360083 46707820 60720166 93415640 121440332 151800415 242880664 303600830 607201660 1214403320