Search a number
-
+
1344431040 = 26351400449
BaseRepresentation
bin101000000100010…
…0110001111000000
310110200210011200020
41100020212033000
510223133243130
6341223453440
745213322011
oct12010461700
93420704606
101344431040
1162a994a37
123162b7280
131856c3634
14ca7a9008
157d069e10
hex502263c0

1344431040 has 56 divisors (see below), whose sum is σ = 4268571600. Its totient is φ = 358514688.

The previous prime is 1344431003. The next prime is 1344431047. The reversal of 1344431040 is 401344431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1344431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344431047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699265 + ... + 701184.

Almost surely, 21344431040 is an apocalyptic number.

1344431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344431040 is an abundant number, since it is smaller than the sum of its proper divisors (2924140560).

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

1344431040 is a wasteful number, since it uses less digits than its factorization.

1344431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400469 (or 1400459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344431040 is about 36666.4838783323. The cubic root of 1344431040 is about 1103.6876347953.

Adding to 1344431040 its reverse (401344431), we get a palindrome (1745775471).

The spelling of 1344431040 in words is "one billion, three hundred forty-four million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1400449 2800898 4201347 5601796 7002245 8402694 11203592 14004490 16805388 21006735 22407184 28008980 33610776 42013470 44814368 56017960 67221552 84026940 89628736 112035920 134443104 168053880 224071840 268886208 336107760 448143680 672215520 1344431040