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4012304004 = 2233712771889
BaseRepresentation
bin1110111100100110…
…1110011010000100
3101100121212011101000
43233021232122010
531204122212004
61502045333300
7201300010212
oct35711563204
911317764330
104012304004
111779928425
1293b867230
134bc33bba7
142a0c37cb2
151873a5c39
hexef26e684

4012304004 has 96 divisors (see below), whose sum is σ = 10592467200. Its totient is φ = 1313141760.

The previous prime is 4012303987. The next prime is 4012304017. The reversal of 4012304004 is 4004032104.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2123092 + ... + 2124980.

It is an arithmetic number, because the mean of its divisors is an integer number (110338200).

Almost surely, 24012304004 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 4012304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296233600).

4012304004 is an abundant number, since it is smaller than the sum of its proper divisors (6580163196).

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

4012304004 is a wasteful number, since it uses less digits than its factorization.

4012304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4012304004 is about 63342.7502086861. The cubic root of 4012304004 is about 1589.0270017061.

Adding to 4012304004 its reverse (4004032104), we get a palindrome (8016336108).

The spelling of 4012304004 in words is "four billion, twelve million, three hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 277 284 426 554 639 831 852 1108 1278 1662 1889 1917 2493 2556 3324 3778 3834 4986 5667 7479 7556 7668 9972 11334 14958 17001 19667 22668 29916 34002 39334 51003 59001 68004 78668 102006 118002 134119 177003 204012 236004 268238 354006 402357 523253 531009 536476 708012 804714 1046506 1062018 1207071 1569759 1609428 2093012 2124036 2414142 3139518 3621213 4709277 4828284 6279036 7242426 9418554 14127831 14484852 18837108 28255662 37150963 56511324 74301926 111452889 148603852 222905778 334358667 445811556 668717334 1003076001 1337434668 2006152002 4012304004