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1344033420 = 2235291077219
BaseRepresentation
bin101000000011100…
…0101001010001100
310110200000222020120
41100013011022030
510223033032140
6341211144540
745210044532
oct12007051214
93420028216
101344033420
1162a743224
12316145150
131855b4662
14ca704152
157cedc1d0
hex501c528c

1344033420 has 96 divisors (see below), whose sum is σ = 3929990400. Its totient is φ = 342768384.

The previous prime is 1344033403. The next prime is 1344033433. The reversal of 1344033420 is 243304431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182571 + ... + 189789.

It is an arithmetic number, because the mean of its divisors is an integer number (40937400).

Almost surely, 21344033420 is an apocalyptic number.

1344033420 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 1344033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964995200).

1344033420 is an abundant number, since it is smaller than the sum of its proper divisors (2585956980).

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

1344033420 is a wasteful number, since it uses less digits than its factorization.

1344033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1344033420 is about 36661.0613594315. The cubic root of 1344033420 is about 1103.5788176240.

Adding to 1344033420 its reverse (243304431), we get a palindrome (1587337851).

The spelling of 1344033420 in words is "one billion, three hundred forty-four million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 107 116 145 174 214 290 321 348 428 435 535 580 642 870 1070 1284 1605 1740 2140 3103 3210 6206 6420 7219 9309 12412 14438 15515 18618 21657 28876 31030 36095 37236 43314 46545 62060 72190 86628 93090 108285 144380 186180 209351 216570 418702 433140 628053 772433 837404 1046755 1256106 1544866 2093510 2317299 2512212 3089732 3140265 3862165 4187020 4634598 6280530 7724330 9269196 11586495 12561060 15448660 22400557 23172990 44801114 46345980 67201671 89602228 112002785 134403342 224005570 268806684 336008355 448011140 672016710 1344033420