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402234144 = 253131718959
BaseRepresentation
bin10111111110011…
…001101100100000
31001000212121111220
4113332121230200
51310432443034
6103525135040
712652635204
oct2776315440
91030777456
10402234144
11197061514
12b285a480
1365444490
143b5c6b04
15254a5749
hex17f99b20

402234144 has 96 divisors (see below), whose sum is σ = 1204035840. Its totient is φ = 116477952.

The previous prime is 402234137. The next prime is 402234167. The reversal of 402234144 is 441432204.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11737 + ... + 30695.

It is an arithmetic number, because the mean of its divisors is an integer number (12542040).

Almost surely, 2402234144 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 402234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602017920).

402234144 is an abundant number, since it is smaller than the sum of its proper divisors (801801696).

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

402234144 is a wasteful number, since it uses less digits than its factorization.

402234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19002 (or 18994 counting only the distinct ones).

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

The square root of 402234144 is about 20055.7758264297. The cubic root of 402234144 is about 738.1755298138.

Adding to 402234144 its reverse (441432204), we get a palindrome (843666348).

The spelling of 402234144 in words is "four hundred two million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 18959 21216 37918 56877 75836 113754 151672 227508 246467 303344 322303 455016 492934 606688 644606 739401 910032 966909 985868 1289212 1478802 1820064 1933818 1971736 2578424 2957604 3867636 3943472 4189939 5156848 5915208 7735272 7886944 8379878 10313696 11830416 12569817 15470544 16759756 23660832 25139634 30941088 33519512 50279268 67039024 100558536 134078048 201117072 402234144