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1344423420 = 223456911201
BaseRepresentation
bin101000000100010…
…0100010111111100
310110200202210020000
41100020210113330
510223133022140
6341223354300
745213260544
oct12010442774
93420683200
101344423420
1162a98a23a
123162b2990
131856c0022
14ca7a6324
157d067a30
hex502245fc

1344423420 has 120 divisors (see below), whose sum is σ = 4227126288. Its totient is φ = 357696000.

The previous prime is 1344423403. The next prime is 1344423433. The reversal of 1344423420 is 243244431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1118820 + ... + 1120020.

Almost surely, 21344423420 is an apocalyptic number.

1344423420 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 1344423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113563144).

1344423420 is an abundant number, since it is smaller than the sum of its proper divisors (2882702868).

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

1344423420 is a wasteful number, since it uses less digits than its factorization.

1344423420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1344423420 is about 36666.3799685761. The cubic root of 1344423420 is about 1103.6855496218.

Adding to 1344423420 its reverse (243244431), we get a palindrome (1587667851).

It can be divided in two parts, 13444 and 23420, that added together give a square (36864 = 1922).

The spelling of 1344423420 in words is "one billion, three hundred forty-four million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 691 810 1201 1382 1620 2073 2402 2764 3455 3603 4146 4804 6005 6219 6910 7206 8292 10365 10809 12010 12438 13820 14412 18015 18657 20730 21618 24020 24876 31095 32427 36030 37314 41460 43236 54045 55971 62190 64854 72060 74628 93285 97281 108090 111942 124380 129708 162135 186570 194562 216180 223884 279855 324270 373140 389124 486405 559710 648540 829891 972810 1119420 1659782 1945620 2489673 3319564 4149455 4979346 7469019 8298910 9958692 12448365 14938038 16597820 22407057 24896730 29876076 37345095 44814114 49793460 67221171 74690190 89628228 112035285 134442342 149380380 224070570 268884684 336105855 448141140 672211710 1344423420