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402421344 = 253131272539
BaseRepresentation
bin10111111111000…
…111011001100000
31001001020010022020
4113333013121200
51311004440334
6103533141440
712654345033
oct2777073140
91031203266
10402421344
1119717a126
12b292a880
13654ab750
143b63501a
15254e0e49
hex17fc7660

402421344 has 96 divisors (see below), whose sum is σ = 1147023360. Its totient is φ = 122798592.

The previous prime is 402421343. The next prime is 402421367. The reversal of 402421344 is 443124204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402421343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157227 + ... + 159765.

It is an arithmetic number, because the mean of its divisors is an integer number (11948160).

Almost surely, 2402421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

402421344 is an abundant number, since it is smaller than the sum of its proper divisors (744602016).

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

402421344 is a wasteful number, since it uses less digits than its factorization.

402421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 402421344 is about 20060.4422683051. The cubic root of 402421344 is about 738.2900278240.

Adding to 402421344 its reverse (443124204), we get a palindrome (845545548).

The spelling of 402421344 in words is "four hundred two million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 2539 3048 3302 4064 4953 5078 6096 6604 7617 9906 10156 12192 13208 15234 19812 20312 26416 30468 33007 39624 40624 52832 60936 66014 79248 81248 99021 121872 132028 158496 198042 243744 264056 322453 396084 528112 644906 792168 967359 1056224 1289812 1584336 1934718 2579624 3168672 3869436 4191889 5159248 7738872 8383778 10318496 12575667 15477744 16767556 25151334 30955488 33535112 50302668 67070224 100605336 134140448 201210672 402421344