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8342480 = 245104281
BaseRepresentation
bin11111110100101111010000
3120200211201202
4133310233100
54113424410
6454450332
7130624046
oct37645720
916624652
108342480
114788913
1229639a8
1319612a3
141172396
15aebca5
hex7f4bd0

8342480 has 20 divisors (see below), whose sum is σ = 19396452. Its totient is φ = 3336960.

The previous prime is 8342447. The next prime is 8342483. The reversal of 8342480 is 842438.

It can be written as a sum of positive squares in 2 ways, for example, as 3125824 + 5216656 = 1768^2 + 2284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52061 + ... + 52220.

Almost surely, 28342480 is an apocalyptic number.

8342480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8342480 is an abundant number, since it is smaller than the sum of its proper divisors (11053972).

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

8342480 is a wasteful number, since it uses less digits than its factorization.

8342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104294 (or 104288 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 8342480 is about 2888.3351606072. The cubic root of 8342480 is about 202.8142152295.

It can be divided in two parts, 83 and 42480, that multiplied together give a triangular number (3525840 = T2655).

The spelling of 8342480 in words is "eight million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 104281 208562 417124 521405 834248 1042810 1668496 2085620 4171240 8342480