Search a number
-
+
3423846460 = 22531137173233
BaseRepresentation
bin1100110000010011…
…1100000000111100
322211121120102101011
43030010330000330
524003001041320
61323424525004
7150563133436
oct31404740074
98747512334
103423846460
1114a7743581
127b6780764
13427454c68
14246a17656
151508b805a
hexcc13c03c

3423846460 has 96 divisors (see below), whose sum is σ = 7551677952. Its totient is φ = 1302466560.

The previous prime is 3423846431. The next prime is 3423846463. The reversal of 3423846460 is 646483243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423846463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14694504 + ... + 14694736.

It is an arithmetic number, because the mean of its divisors is an integer number (78663312).

Almost surely, 23423846460 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 3423846460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775838976).

3423846460 is an abundant number, since it is smaller than the sum of its proper divisors (4127831492).

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

3423846460 is a wasteful number, since it uses less digits than its factorization.

3423846460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The square root of 3423846460 is about 58513.6433663124. The cubic root of 3423846460 is about 1507.2018792105.

The spelling of 3423846460 in words is "three billion, four hundred twenty-three million, eight hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 173 233 274 310 346 466 548 620 685 692 865 932 1165 1370 1730 2330 2740 3460 4247 4660 5363 7223 8494 10726 14446 16988 21235 21452 23701 26815 28892 31921 36115 40309 42470 47402 53630 63842 72230 80618 84940 94804 107260 118505 127684 144460 159605 161236 201545 237010 319210 403090 474020 638420 734731 806180 989551 1249579 1469462 1979102 2499158 2938924 3673655 3958204 4947755 4998316 5522333 6247895 7347310 9895510 11044666 12495790 14694620 19791020 22089332 24991580 27611665 55223330 110446660 171192323 342384646 684769292 855961615 1711923230 3423846460