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4300220034 = 23211163133241
BaseRepresentation
bin1000000000101000…
…00010011010000010
3102002200121210220200
410000110002122002
532301324020114
61550412350030
7211364160435
oct40024023202
912080553820
104300220034
1119073a8a60
12a00175316
13536b986c6
142cb18381c
151a27c9409
hex100502682

4300220034 has 48 divisors (see below), whose sum is σ = 10226589984. Its totient is φ = 1295092800.

The previous prime is 4300220003. The next prime is 4300220039.

4300220034 is a `hidden beast` number, since 430 + 0 + 2 + 200 + 34 = 666.

4300220034 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43002200342 = 36983784681629922312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4300219989 and 4300220016.

It is not an unprimeable number, because it can be changed into a prime (4300220039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34347 + ... + 98894.

It is an arithmetic number, because the mean of its divisors is an integer number (213053958).

Almost surely, 24300220034 is an apocalyptic number.

4300220034 is an abundant number, since it is smaller than the sum of its proper divisors (5926369950).

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

4300220034 is a wasteful number, since it uses less digits than its factorization.

4300220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133423 (or 133420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4300220034 is about 65576.0629650790. The cubic root of 4300220034 is about 1626.1610679984.

It can be divided in two parts, 43002 and 20034, that added together give a palindrome (63036).

The spelling of 4300220034 in words is "four billion, three hundred million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 978 1467 1793 2934 3586 5379 10758 16137 32274 133241 266482 399723 799446 1199169 1465651 2398338 2931302 4396953 8793906 13190859 21718283 26381718 43436566 65154849 130309698 195464547 238901113 390929094 477802226 716703339 1433406678 2150110017 4300220034