Search a number
-
+
1344100340 = 225118373609
BaseRepresentation
bin101000000011101…
…0101011111110100
310110200011101001002
41100013111133310
510223042202330
6341212422432
745210443612
oct12007253764
93420141032
101344100340
1162a789530
12316177a18
13185608c5b
14ca7206b2
157d001e45
hex501d57f4

1344100340 has 48 divisors (see below), whose sum is σ = 3116352960. Its totient is φ = 482868480.

The previous prime is 1344100301. The next prime is 1344100349. The reversal of 1344100340 is 430014431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344100349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18545 + ... + 55064.

It is an arithmetic number, because the mean of its divisors is an integer number (64924020).

Almost surely, 21344100340 is an apocalyptic number.

1344100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344100340 is an abundant number, since it is smaller than the sum of its proper divisors (1772252620).

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

1344100340 is a wasteful number, since it uses less digits than its factorization.

1344100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73712 (or 73710 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1344100340 is about 36661.9740330496. The cubic root of 1344100340 is about 1103.5971332075.

Adding to 1344100340 its reverse (430014431), we get a palindrome (1774114771).

The spelling of 1344100340 in words is "one billion, three hundred forty-four million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 73609 147218 294436 368045 736090 809699 1472180 1619398 3238796 4048495 6109547 8096990 12219094 16193980 24438188 30547735 61095470 67205017 122190940 134410034 268820068 336025085 672050170 1344100340