Search a number
-
+
404245336 = 23111032433
BaseRepresentation
bin11000000110000…
…100101101011000
31001011122210100111
4120012010231120
51311441322321
6104040214104
713006012555
oct3006045530
91034583314
10404245336
11198205560
12b346a334
1365999a31
143b98ba2c
15257515e1
hex18184b58

404245336 has 48 divisors (see below), whose sum is σ = 836899560. Its totient is φ = 181543680.

The previous prime is 404245277. The next prime is 404245339. The reversal of 404245336 is 633542404.

It is a junction number, because it is equal to n+sod(n) for n = 404245298 and 404245307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404245339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933376 + ... + 933808.

Almost surely, 2404245336 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 404245336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418449780).

404245336 is an abundant number, since it is smaller than the sum of its proper divisors (432654224).

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

404245336 is a wasteful number, since it uses less digits than its factorization.

404245336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 404245336 is about 20105.8532770932. The cubic root of 404245336 is about 739.4037905271.

The spelling of 404245336 in words is "four hundred four million, two hundred forty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 433 824 866 1133 1732 2266 3464 4532 4763 9064 9526 10609 19052 21218 38104 42436 44599 84872 89198 116699 178396 233398 356792 466796 490589 933592 981178 1962356 3924712 4593697 9187394 18374788 36749576 50530667 101061334 202122668 404245336