Search a number
-
+
1344405040 = 245111980407
BaseRepresentation
bin101000000100001…
…1111111000110000
310110200201212000021
41100020133320300
510223131430130
6341223133224
745213153136
oct12010377060
93420655007
101344405040
1162a977450
123162a4214
131856b4854
14ca79d756
157d06237a
hex5021fe30

1344405040 has 80 divisors (see below), whose sum is σ = 3589413120. Its totient is φ = 463138560.

The previous prime is 1344405037. The next prime is 1344405071. The reversal of 1344405040 is 405044431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1344404996 and 1344405014.

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, 23484 + ... + 56923.

It is an arithmetic number, because the mean of its divisors is an integer number (44867664).

Almost surely, 21344405040 is an apocalyptic number.

1344405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344405040 is an abundant number, since it is smaller than the sum of its proper divisors (2245008080).

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

1344405040 is a wasteful number, since it uses less digits than its factorization.

1344405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80450 (or 80444 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1344405040 is about 36666.1293293961. The cubic root of 1344405040 is about 1103.6805199979.

Adding to 1344405040 its reverse (405044431), we get a palindrome (1749449471).

The spelling of 1344405040 in words is "one billion, three hundred forty-four million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 80407 160814 321628 402035 643256 804070 884477 1286512 1527733 1608140 1768954 3055466 3216280 3537908 4422385 6110932 6432560 7075816 7638665 8844770 12221864 14151632 15277330 16805063 17689540 24443728 30554660 33610126 35379080 61109320 67220252 70758160 84025315 122218640 134440504 168050630 268881008 336101260 672202520 1344405040