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4230380256 = 253611375273
BaseRepresentation
bin1111110000100110…
…0111101011100000
3101220211012120202020
43330021213223200
532130434132011
61535435421440
7206555432064
oct37411475340
911824176666
104230380256
111880a37333
129a08b4880
13525584aab
142c1ba3aa4
1519b5d1006
hexfc267ae0

4230380256 has 96 divisors (see below), whose sum is σ = 11371334688. Its totient is φ = 1376624640.

The previous prime is 4230380233. The next prime is 4230380263. The reversal of 4230380256 is 6520830324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42303802562 = 35792234220709251072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 799636 + ... + 804908.

It is an arithmetic number, because the mean of its divisors is an integer number (118451403).

Almost surely, 24230380256 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 4230380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685667344).

4230380256 is an abundant number, since it is smaller than the sum of its proper divisors (7140954432).

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

4230380256 is a wasteful number, since it uses less digits than its factorization.

4230380256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4230380256 is about 65041.3734172334. The cubic root of 4230380256 is about 1617.3094922972.

The spelling of 4230380256 in words is "four billion, two hundred thirty million, three hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 137 183 244 274 366 411 488 548 732 822 976 1096 1464 1644 1952 2192 2928 3288 4384 5273 5856 6576 8357 10546 13152 15819 16714 21092 25071 31638 33428 42184 50142 63276 66856 84368 100284 126552 133712 168736 200568 253104 267424 321653 401136 506208 643306 722401 802272 964959 1286612 1444802 1929918 2167203 2573224 2889604 3859836 4334406 5146448 5779208 7719672 8668812 10292896 11558416 15439344 17337624 23116832 30878688 34675248 44066461 69350496 88132922 132199383 176265844 264398766 352531688 528797532 705063376 1057595064 1410126752 2115190128 4230380256