[go: up one dir, main page]

Search a number
-
+
1349468340 = 2235112044649
BaseRepresentation
bin101000001101111…
…0100000010110100
310111001021002112220
41100123310002310
510230430441330
6341523442340
745304202013
oct12033640264
93431232486
101349468340
116328155a0
12317b263b0
1318676839c
14cb31aa7a
157d712710
hex506f40b4

1349468340 has 48 divisors (see below), whose sum is σ = 4122014400. Its totient is φ = 327143680.

The previous prime is 1349468333. The next prime is 1349468357. The reversal of 1349468340 is 438649431.

It is a junction number, because it is equal to n+sod(n) for n = 1349468292 and 1349468301.

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, 1021665 + ... + 1022984.

It is an arithmetic number, because the mean of its divisors is an integer number (85875300).

Almost surely, 21349468340 is an apocalyptic number.

1349468340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349468340 is an abundant number, since it is smaller than the sum of its proper divisors (2772546060).

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

1349468340 is a wasteful number, since it uses less digits than its factorization.

1349468340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044672 (or 2044670 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 1349468340 is about 36735.1104530802. The cubic root of 1349468340 is about 1105.0643451949.

The spelling of 1349468340 in words is "one billion, three hundred forty-nine million, four hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2044649 4089298 6133947 8178596 10223245 12267894 20446490 22491139 24535788 30669735 40892980 44982278 61339470 67473417 89964556 112455695 122678940 134946834 224911390 269893668 337367085 449822780 674734170 1349468340