Search a number
-
+
4000370004 = 22364632963
BaseRepresentation
bin1110111001110000…
…1100110101010100
3101022210101212000000
43232130030311110
531143043320004
61500541451300
7201063404211
oct35634146524
911283355000
104000370004
111773117214
12937870b30
134b9a20c57
1429d40cb08
151862e9c39
hexee70cd54

4000370004 has 84 divisors (see below), whose sum is σ = 10522389696. Its totient is φ = 1330127568.

The previous prime is 4000369981. The next prime is 4000370009. The reversal of 4000370004 is 4000730004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000370009) 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 27 ways as a sum of consecutive naturals, for example, 1348627 + ... + 1351589.

It is an arithmetic number, because the mean of its divisors is an integer number (125266544).

Almost surely, 24000370004 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 4000370004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261194848).

4000370004 is an abundant number, since it is smaller than the sum of its proper divisors (6522019692).

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

4000370004 is a wasteful number, since it uses less digits than its factorization.

4000370004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4000370004 is about 63248.4782741846. The cubic root of 4000370004 is about 1587.4499958540.

Subtracting 4000370004 from its reverse (4000730004), we obtain a square (360000 = 6002).

The spelling of 4000370004 in words is "four billion, three hundred seventy thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 463 486 729 926 972 1389 1458 1852 2778 2916 2963 4167 5556 5926 8334 8889 11852 12501 16668 17778 25002 26667 35556 37503 50004 53334 75006 80001 106668 112509 150012 160002 225018 240003 320004 337527 450036 480006 675054 720009 960012 1350108 1371869 1440018 2160027 2743738 2880036 4115607 4320054 5487476 8231214 8640108 12346821 16462428 24693642 37040463 49387284 74080926 111121389 148161852 222242778 333364167 444485556 666728334 1000092501 1333456668 2000185002 4000370004