Search a number
-
+
38224342436 = 22723101587669
BaseRepresentation
bin100011100110010110…
…010010110110100100
310122122220211210020112
4203212112102312210
51111240412424221
625320544152152
72522143356410
oct434626226644
9118586753215
1038224342436
1115235710255
1274a9308658
1337b2236307
141bc882dd40
15edab8b15b
hex8e6592da4

38224342436 has 48 divisors (see below), whose sum is σ = 80562504960. Its totient is φ = 15514435200.

The previous prime is 38224342433. The next prime is 38224342441. The reversal of 38224342436 is 63424342283.

It is a super-2 number, since 2×382243424362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38224342393 and 38224342402.

It is not an unprimeable number, because it can be changed into a prime (38224342433) 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, 228791 + ... + 358878.

It is an arithmetic number, because the mean of its divisors is an integer number (1678385520).

Almost surely, 238224342436 is an apocalyptic number.

It is an amenable number.

38224342436 is an abundant number, since it is smaller than the sum of its proper divisors (42338162524).

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

38224342436 is a wasteful number, since it uses less digits than its factorization.

38224342436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587804 (or 587802 counting only the distinct ones).

The product of its digits is 663552, while the sum is 41.

The spelling of 38224342436 in words is "thirty-eight billion, two hundred twenty-four million, three hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 202 322 404 644 707 1414 2323 2828 4646 9292 16261 32522 65044 587669 1175338 2350676 4113683 8227366 13516387 16454732 27032774 54065548 59354569 94614709 118709138 189229418 237418276 378458836 415481983 830963966 1365155087 1661927932 2730310174 5460620348 9556085609 19112171218 38224342436