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3342487680 = 27345761151
BaseRepresentation
bin1100011100111010…
…0101000010000000
322121221110222010000
43013032211002000
523321134101210
61311401040000
7145554451020
oct30716450200
98557428100
103342487680
111465824514
12793486000
1341363a27c
14239cb9a80
15148696ac0
hexc73a5080

3342487680 has 640 divisors, whose sum is σ = 13957320960. Its totient is φ = 746496000.

The previous prime is 3342487651. The next prime is 3342487693. The reversal of 3342487680 is 867842433.

3342487680 is a `hidden beast` number, since 334 + 248 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×33424876802 = 22344447781903564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22135605 + ... + 22135755.

It is an arithmetic number, because the mean of its divisors is an integer number (21808314).

Almost surely, 23342487680 is an apocalyptic number.

3342487680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978660480).

3342487680 is an abundant number, since it is smaller than the sum of its proper divisors (10614833280).

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

3342487680 is a wasteful number, since it uses less digits than its factorization.

3342487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3342487680 is about 57814.2515302239. The cubic root of 3342487680 is about 1495.1678100091.

It can be divided in two parts, 33424 and 87680, that added together give a square (121104 = 3482).

The spelling of 3342487680 in words is "three billion, three hundred forty-two million, four hundred eighty-seven thousand, six hundred eighty".