Search a number
-
+
2403421344 = 253236722739
BaseRepresentation
bin1000111101000001…
…0100110010100000
320012111110110021100
42033100110302200
514410233440334
61034253354400
7113362513212
oct21720246240
96174413240
102403421344
11102373a035
12570a98a00
132c3c1600c
1418b2b05b2
15e0eeec99
hex8f414ca0

2403421344 has 72 divisors (see below), whose sum is σ = 6853654080. Its totient is φ = 798922368.

The previous prime is 2403421337. The next prime is 2403421367. The reversal of 2403421344 is 4431243042.

It is a happy number.

2403421344 is a `hidden beast` number, since 2 + 403 + 4 + 213 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94327 + ... + 117065.

It is an arithmetic number, because the mean of its divisors is an integer number (95189640).

Almost surely, 22403421344 is an apocalyptic number.

2403421344 is a gapful number since it is divisible by the number (24) 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 2403421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426827040).

2403421344 is an abundant number, since it is smaller than the sum of its proper divisors (4450232736).

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

2403421344 is a wasteful number, since it uses less digits than its factorization.

2403421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23122 (or 23111 counting only the distinct ones).

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

The square root of 2403421344 is about 49024.7013657401. The cubic root of 2403421344 is about 1339.5018093087.

Adding to 2403421344 its reverse (4431243042), we get a palindrome (6834664386).

The spelling of 2403421344 in words is "two billion, four hundred three million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 22739 26424 35232 45478 52848 68217 90956 105696 136434 181912 204651 272868 363824 409302 545736 727648 818604 1091472 1637208 2182944 3274416 6548832 8345213 16690426 25035639 33380852 50071278 66761704 75106917 100142556 133523408 150213834 200285112 267046816 300427668 400570224 600855336 801140448 1201710672 2403421344