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342416460 = 223516993359
BaseRepresentation
bin10100011010001…
…101110001001100
3212212022120002010
4110122031301030
51200124311320
653551101220
711325330501
oct2432156114
9785276063
10342416460
11166315611
1296811810
1355c2c4b9
14336954a8
15200dbae0
hex1468dc4c

342416460 has 48 divisors (see below), whose sum is σ = 959616000. Its totient is φ = 91230144.

The previous prime is 342416447. The next prime is 342416489. The reversal of 342416460 is 64614243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100261 + ... + 103619.

It is an arithmetic number, because the mean of its divisors is an integer number (19992000).

Almost surely, 2342416460 is an apocalyptic number.

342416460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342416460 is an abundant number, since it is smaller than the sum of its proper divisors (617199540).

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

342416460 is a wasteful number, since it uses less digits than its factorization.

342416460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 342416460 is about 18504.4983720175. The cubic root of 342416460 is about 699.6028086835.

The spelling of 342416460 in words is "three hundred forty-two million, four hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1699 3359 3398 5097 6718 6796 8495 10077 10194 13436 16795 16990 20154 20388 25485 33590 33980 40308 50385 50970 67180 100770 101940 201540 5706941 11413882 17120823 22827764 28534705 34241646 57069410 68483292 85604115 114138820 171208230 342416460