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4306140 = 2232547509
BaseRepresentation
bin10000011011010011011100
322002202220200
4100123103130
52100244030
6232143500
751413226
oct20332334
98082820
104306140
1124812a3
121537b90
13b7a017
14801416
155a0d60
hex41b4dc

4306140 has 72 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1121664.

The previous prime is 4306139. The next prime is 4306147. The reversal of 4306140 is 416034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306147) by changing a digit.

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, 8206 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 24306140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4306140 is an abundant number, since it is smaller than the sum of its proper divisors (9059940).

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

4306140 is a wasteful number, since it uses less digits than its factorization.

4306140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4306140 is about 2075.1240926749. The cubic root of 4306140 is about 162.6906952619.

The spelling of 4306140 in words is "four million, three hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 509 564 705 846 940 1018 1410 1527 1692 2036 2115 2545 2820 3054 4230 4581 5090 6108 7635 8460 9162 10180 15270 18324 22905 23923 30540 45810 47846 71769 91620 95692 119615 143538 215307 239230 287076 358845 430614 478460 717690 861228 1076535 1435380 2153070 4306140