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4330308768 = 253294093803
BaseRepresentation
bin1000000100001101…
…10100010010100000
3102011210020110220020
410002012310102200
532332024340033
61553405313440
7212211005622
oct40206642240
912153213806
104330308768
11192238a085
12a0a265880
135401a1ba6
142d1176c12
151a526e6b3
hex1021b44a0

4330308768 has 96 divisors (see below), whose sum is σ = 11790878400. Its totient is φ = 1389889536.

The previous prime is 4330308761. The next prime is 4330308817. The reversal of 4330308768 is 8678030334.

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

It is not an unprimeable number, because it can be changed into a prime (4330308761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136755 + ... + 1140557.

It is an arithmetic number, because the mean of its divisors is an integer number (122821650).

Almost surely, 24330308768 is an apocalyptic number.

4330308768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4330308768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895439200).

4330308768 is an abundant number, since it is smaller than the sum of its proper divisors (7460569632).

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

4330308768 is a wasteful number, since it uses less digits than its factorization.

4330308768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4330308768 is about 65805.0816274853. The cubic root of 4330308768 is about 1629.9450177798.

The spelling of 4330308768 in words is "four billion, three hundred thirty million, three hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 409 464 696 818 928 1227 1392 1636 2454 2784 3272 3803 4908 6544 7606 9816 11409 11861 13088 15212 19632 22818 23722 30424 35583 39264 45636 47444 60848 71166 91272 94888 110287 121696 142332 182544 189776 220574 284664 330861 365088 379552 441148 569328 661722 882296 1138656 1323444 1555427 1764592 2646888 3110854 3529184 4666281 5293776 6221708 9332562 10587552 12443416 18665124 24886832 37330248 45107383 49773664 74660496 90214766 135322149 149320992 180429532 270644298 360859064 541288596 721718128 1082577192 1443436256 2165154384 4330308768