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234606420 = 223255922091
BaseRepresentation
bin11011111101111…
…00111101010100
3121100110020111200
431332330331110
5440024401140
635140232500
75546056506
oct1576747524
9540406450
10234606420
1111047a304
126669b730
13397b2b89
142322dd76
15158e3030
hexdfbcf54

234606420 has 72 divisors (see below), whose sum is σ = 723733920. Its totient is φ = 61498560.

The previous prime is 234606413. The next prime is 234606439. The reversal of 234606420 is 24606432.

234606420 is a `hidden beast` number, since 2 + 34 + 606 + 4 + 20 = 666.

It is a super-3 number, since 3×2346064203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426 + ... + 21665.

It is an arithmetic number, because the mean of its divisors is an integer number (10051860).

Almost surely, 2234606420 is an apocalyptic number.

234606420 is a gapful number since it is divisible by the number (20) 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 234606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361866960).

234606420 is an abundant number, since it is smaller than the sum of its proper divisors (489127500).

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

234606420 is a wasteful number, since it uses less digits than its factorization.

234606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22165 (or 22160 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 234606420 is about 15316.8671731526. The cubic root of 234606420 is about 616.7558783359.

The spelling of 234606420 in words is "two hundred thirty-four million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 22091 44182 66273 88364 110455 132546 198819 220910 265092 331365 397638 441820 662730 795276 994095 1303369 1325460 1988190 2606738 3910107 3976380 5213476 6516845 7820214 11730321 13033690 15640428 19550535 23460642 26067380 39101070 46921284 58651605 78202140 117303210 234606420