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1422401344 = 26713218787
BaseRepresentation
bin101010011001000…
…0001111101000000
310200010111110211021
41110302001331000
510403113320334
6353050555224
750151132460
oct12462017500
93603443737
101422401344
1166a9aa201
12338438b14
131988c2c00
14d6ca3ba0
1584d1c3b4
hex54c81f40

1422401344 has 84 divisors (see below), whose sum is σ = 3493215264. Its totient is φ = 562678272.

The previous prime is 1422401341. The next prime is 1422401369. The reversal of 1422401344 is 4431042241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422401341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66319 + ... + 85105.

It is an arithmetic number, because the mean of its divisors is an integer number (41585896).

Almost surely, 21422401344 is an apocalyptic number.

1422401344 is a gapful number since it is divisible by the number (14) 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 1422401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746607632).

1422401344 is an abundant number, since it is smaller than the sum of its proper divisors (2070813920).

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

1422401344 is a wasteful number, since it uses less digits than its factorization.

1422401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18832 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1422401344 is about 37714.7364302072. The cubic root of 1422401344 is about 1124.6240966991.

Adding to 1422401344 its reverse (4431042241), we get a palindrome (5853443585).

The spelling of 1422401344 in words is "one billion, four hundred twenty-two million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2366 2704 2912 4732 5408 5824 9464 10816 18787 18928 37574 37856 75148 75712 131509 150296 244231 263018 300592 488462 526036 601184 976924 1052072 1202368 1709617 1953848 2104144 3175003 3419234 3907696 4208288 6350006 6838468 7815392 8416576 12700012 13676936 15630784 22225021 25400024 27353872 44450042 50800048 54707744 88900084 101600096 109415488 177800168 203200192 355600336 711200672 1422401344