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104342220 = 223253715667
BaseRepresentation
bin1100011100000…
…10001011001100
321021100010121200
412032002023030
5203202422340
614204225500
72404615503
oct616021314
9237303550
10104342220
1153997944
122ab3b290
1318804078
14dc0183a
159261330
hex63822cc

104342220 has 72 divisors (see below), whose sum is σ = 325079664. Its totient is φ = 27070848.

The previous prime is 104342207. The next prime is 104342263. The reversal of 104342220 is 22243401.

104342220 is a `hidden beast` number, since 10 + 434 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104342193 and 104342202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174 + ... + 14493.

Almost surely, 2104342220 is an apocalyptic number.

104342220 is a gapful number since it is divisible by the number (10) 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 104342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162539832).

104342220 is an abundant number, since it is smaller than the sum of its proper divisors (220737444).

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

104342220 is a wasteful number, since it uses less digits than its factorization.

104342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104342220 is about 10214.8039628766. The cubic root of 104342220 is about 470.7821893090.

Adding to 104342220 its reverse (22243401), we get a palindrome (126585621).

The spelling of 104342220 in words is "one hundred four million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15667 31334 47001 62668 78335 94002 141003 156670 188004 235005 282006 313340 470010 564012 579679 705015 940020 1159358 1410030 1739037 2318716 2820060 2898395 3478074 5217111 5796790 6956148 8695185 10434222 11593580 17390370 20868444 26085555 34780740 52171110 104342220