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3360400064 = 26717441229
BaseRepresentation
bin1100100001001011…
…1010001011000000
322200012012000021122
43020102322023000
523340230300224
61313241011412
7146162633510
oct31022721300
98605160248
103360400064
11147494933a
12799483b68
1341726c408
1423c41d840
1514a03415e
hexc84ba2c0

3360400064 has 56 divisors (see below), whose sum is σ = 8069214240. Its totient is φ = 1355452416.

The previous prime is 3360400063. The next prime is 3360400111. The reversal of 3360400064 is 4600040633.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×33604000642 = 22584577180262408192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3360400063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212999 + ... + 228230.

Almost surely, 23360400064 is an apocalyptic number.

3360400064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3360400064 is an abundant number, since it is smaller than the sum of its proper divisors (4708814176).

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

3360400064 is a wasteful number, since it uses less digits than its factorization.

3360400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441265 (or 441255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3360400064 is about 57968.9577618918. The cubic root of 3360400064 is about 1497.8339200894.

Adding to 3360400064 its reverse (4600040633), we get a palindrome (7960440697).

The spelling of 3360400064 in words is "three billion, three hundred sixty million, four hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 441229 882458 1764916 3088603 3529832 6177206 7059664 7500893 12354412 14119328 15001786 24708824 28238656 30003572 49417648 52506251 60007144 98835296 105012502 120014288 197670592 210025004 240028576 420050008 480057152 840100016 1680200032 3360400064