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3004226664 = 233595773677
BaseRepresentation
bin1011001100010000…
…1101110001101000
321202100222112020020
42303010031301220
522123040223124
61214035000440
7134306335215
oct26304156150
97670875206
103004226664
111301897a5a
126ba139120
1338b53431a
14206dc6b0c
15128b2b379
hexb310dc68

3004226664 has 64 divisors (see below), whose sum is σ = 7653182400. Its totient is φ = 982462464.

The previous prime is 3004226663. The next prime is 3004226683. The reversal of 3004226664 is 4666224003.

It is not an unprimeable number, because it can be changed into a prime (3004226663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815194 + ... + 818870.

It is an arithmetic number, because the mean of its divisors is an integer number (119580975).

Almost surely, 23004226664 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 3004226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826591200).

3004226664 is an abundant number, since it is smaller than the sum of its proper divisors (4648955736).

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

3004226664 is a wasteful number, since it uses less digits than its factorization.

3004226664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3004226664 is about 54810.8261568825. The cubic root of 3004226664 is about 1442.9265751697.

The spelling of 3004226664 in words is "three billion, four million, two hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 577 708 1154 1416 1731 2308 3462 3677 4616 6924 7354 11031 13848 14708 22062 29416 34043 44124 68086 88248 102129 136172 204258 216943 272344 408516 433886 650829 817032 867772 1301658 1735544 2121629 2603316 4243258 5206632 6364887 8486516 12729774 16973032 25459548 50919096 125176111 250352222 375528333 500704444 751056666 1001408888 1502113332 3004226664