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342480 = 24351427
BaseRepresentation
bin1010011100111010000
3122101210110
41103213100
541424410
611201320
72624325
oct1234720
9571713
10342480
11214346
12146240
13bcb68
148cb4c
156b720
hex539d0

342480 has 40 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 91264.

The previous prime is 342469. The next prime is 342481. The reversal of 342480 is 84243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342480.

It is not an unprimeable number, because it can be changed into a prime (342481) 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, 474 + ... + 953.

2342480 is an apocalyptic number.

342480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342480 is an abundant number, since it is smaller than the sum of its proper divisors (719952).

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

342480 is a wasteful number, since it uses less digits than its factorization.

342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342480 is about 585.2179081334. The cubic root of 342480 is about 69.9646079591.

The spelling of 342480 in words is "three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1427 2854 4281 5708 7135 8562 11416 14270 17124 21405 22832 28540 34248 42810 57080 68496 85620 114160 171240 342480