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1344112020 = 2232541182129
BaseRepresentation
bin101000000011101…
…1000010110010100
310110200011222001200
41100013120112110
510223043041040
6341212552500
745210522636
oct12007302624
93420158050
101344112020
1162a797289
12316182730
13185611374
14ca724a56
157d005630
hex501d8594

1344112020 has 72 divisors (see below), whose sum is σ = 4176605160. Its totient is φ = 349685760.

The previous prime is 1344112001. The next prime is 1344112037. The reversal of 1344112020 is 202114431.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 1339999236 = 2028^2 + 36606^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1344111984 and 1344112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83685 + ... + 98444.

It is an arithmetic number, because the mean of its divisors is an integer number (58008405).

Almost surely, 21344112020 is an apocalyptic number.

1344112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344112020 is an abundant number, since it is smaller than the sum of its proper divisors (2832493140).

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

1344112020 is a wasteful number, since it uses less digits than its factorization.

1344112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182185 (or 182180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1344112020 is about 36662.1333258173. The cubic root of 1344112020 is about 1103.6003298878.

Adding to 1344112020 its reverse (202114431), we get a palindrome (1546226451).

The spelling of 1344112020 in words is "one billion, three hundred forty-four million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 182129 364258 546387 728516 910645 1092774 1639161 1821290 2185548 2731935 3278322 3642580 5463870 6556644 7467289 8195805 10927740 14934578 16391610 22401867 29869156 32783220 37336445 44803734 67205601 74672890 89607468 112009335 134411202 149345780 224018670 268822404 336028005 448037340 672056010 1344112020