Base | Representation |
---|---|
bin | 11000000001000… |
… | …110010000010000 |
3 | 1001002012112001200 |
4 | 120001012100100 |
5 | 1311123102234 |
6 | 103552231200 |
7 | 12661640640 |
oct | 3001062020 |
9 | 1032175050 |
10 | 402940944 |
11 | 1974a454a |
12 | b2b3b500 |
13 | 656310c3 |
14 | 3b72c520 |
15 | 25594d99 |
hex | 18046410 |
402940944 has 120 divisors (see below), whose sum is σ = 1301619072. Its totient is φ = 113978880.
The previous prime is 402940903. The next prime is 402940963. The reversal of 402940944 is 449049204.
It is a happy number.
It is a super-2 number, since 2×4029409442 = 324722808703222272, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 402940899 and 402940908.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101884 + ... + 105764.
Almost surely, 2402940944 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 402940944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650809536).
402940944 is an abundant number, since it is smaller than the sum of its proper divisors (898678128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402940944 is a wasteful number, since it uses less digits than its factorization.
402940944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4005 (or 3996 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 402940944 is about 20073.3889515448. The cubic root of 402940944 is about 738.6076472515.
The spelling of 402940944 in words is "four hundred two million, nine hundred forty thousand, nine hundred forty-four".
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