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3421130814 = 232232536779
BaseRepresentation
bin1100101111101010…
…0101000000111110
322211102110110012200
43023322211000332
524001302141224
61323250412330
7150531063213
oct31372450076
98742413180
103421130814
1114a6159242
127b58910a6
13426a13b7a
1424650bb0a
1515052d5c9
hexcbea503e

3421130814 has 72 divisors (see below), whose sum is σ = 7896110040. Its totient is φ = 1070056416.

The previous prime is 3421130803. The next prime is 3421130819. The reversal of 3421130814 is 4180311243.

3421130814 is a `hidden beast` number, since 342 + 1 + 1 + 308 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421130819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 501277 + ... + 508055.

It is an arithmetic number, because the mean of its divisors is an integer number (109668195).

Almost surely, 23421130814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421130814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948055020).

3421130814 is an abundant number, since it is smaller than the sum of its proper divisors (4474979226).

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

3421130814 is a wasteful number, since it uses less digits than its factorization.

3421130814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3421130814 is about 58490.4335254920. The cubic root of 3421130814 is about 1506.8032914997.

It can be divided in two parts, 34211 and 30814, that added together give a square (65025 = 2552).

The spelling of 3421130814 in words is "three billion, four hundred twenty-one million, one hundred thirty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 529 954 1058 1219 1587 2438 3174 3657 4761 6779 7314 9522 10971 13558 20337 21942 28037 40674 56074 61011 84111 122022 155917 168222 252333 311834 359287 467751 504666 718574 935502 1077861 1403253 2155722 2806506 3233583 3586091 6467166 7172182 8263601 10758273 16527202 21516546 24790803 32274819 49581606 64549638 74372409 148744818 190062823 380125646 570188469 1140376938 1710565407 3421130814