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3214820088 = 23321712720681
BaseRepresentation
bin1011111110011110…
…0100001011111000
322022001020210002200
42333213210023320
523040443220323
61251000430200
7142444343214
oct27747441370
98261223080
103214820088
1113aa755a07
12758778360
133c305a30c
14226d65944
1513c379443
hexbf9e42f8

3214820088 has 96 divisors (see below), whose sum is σ = 9292008960. Its totient is φ = 1000581120.

The previous prime is 3214820087. The next prime is 3214820111. The reversal of 3214820088 is 8800284123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214820087) by changing a digit.

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, 145108 + ... + 165788.

It is an arithmetic number, because the mean of its divisors is an integer number (96791760).

Almost surely, 23214820088 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 3214820088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646004480).

3214820088 is an abundant number, since it is smaller than the sum of its proper divisors (6077188872).

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

3214820088 is a wasteful number, since it uses less digits than its factorization.

3214820088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3214820088 is about 56699.3834887118. The cubic root of 3214820088 is about 1475.8839995205.

The spelling of 3214820088 in words is "three billion, two hundred fourteen million, eight hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 306 381 408 508 612 762 1016 1143 1224 1524 2159 2286 3048 4318 4572 6477 8636 9144 12954 17272 19431 20681 25908 38862 41362 51816 62043 77724 82724 124086 155448 165448 186129 248172 351577 372258 496344 703154 744516 1054731 1406308 1489032 2109462 2626487 2812616 3164193 4218924 5252974 6328386 7879461 8437848 10505948 12656772 15758922 21011896 23638383 25313544 31517844 44650279 47276766 63035688 89300558 94553532 133950837 178601116 189107064 267901674 357202232 401852511 535803348 803705022 1071606696 1607410044 3214820088