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4380000834 = 2311212234933
BaseRepresentation
bin1000001010001000…
…11000001001000010
3102022020202002121010
410011010120021002
532432240011314
62002342341350
7213353251506
oct40504301102
912266662533
104380000834
11194843a500
12a22a2a856
1354a580091
142d79d0306
151a97d8059
hex105118242

4380000834 has 48 divisors (see below), whose sum is σ = 9638588736. Its totient is φ = 1325918880.

The previous prime is 4380000827. The next prime is 4380000893.

4380000834 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885432 + ... + 890364.

It is an arithmetic number, because the mean of its divisors is an integer number (200803932).

Almost surely, 24380000834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380000834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819294368).

4380000834 is an abundant number, since it is smaller than the sum of its proper divisors (5258587902).

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

4380000834 is a wasteful number, since it uses less digits than its factorization.

4380000834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4380000834 is about 66181.5747319448. The cubic root of 4380000834 is about 1636.1560819855.

It can be divided in two parts, 4380000 and 834, that added together give a palindrome (4380834).

The spelling of 4380000834 in words is "four billion, three hundred eighty million, eight hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1223 2446 3669 4933 7338 9866 13453 14799 26906 29598 40359 54263 80718 108526 147983 162789 295966 325578 443949 596893 887898 1193786 1790679 3581358 6033059 12066118 18099177 36198354 66363649 132727298 199090947 398181894 730000139 1460000278 2190000417 4380000834