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4300012320 = 253510318689
BaseRepresentation
bin1000000000100110…
…01111101100100000
3102002200020020222120
410000103033230200
532301300343240
61550404104240
7211362334032
oct40023175440
912080206876
104300012320
11190727699a
12a00095080
13536b24cb6
142cb12bc52
151a2787ad0
hex1004cfb20

4300012320 has 96 divisors (see below), whose sum is σ = 13559736960. Its totient is φ = 1145425920.

The previous prime is 4300012319. The next prime is 4300012333. The reversal of 4300012320 is 232100034.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4300012320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490536 + ... + 499224.

It is an arithmetic number, because the mean of its divisors is an integer number (141247260).

Almost surely, 24300012320 is an apocalyptic number.

4300012320 is a gapful number since it is divisible by the number (40) 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 4300012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779868480).

4300012320 is an abundant number, since it is smaller than the sum of its proper divisors (9259724640).

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

4300012320 is a wasteful number, since it uses less digits than its factorization.

4300012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4300012320 is about 65574.4791820720. The cubic root of 4300012320 is about 1626.1348846980.

Adding to 4300012320 its reverse (232100034), we get a palindrome (4532112354).

The spelling of 4300012320 in words is "four billion, three hundred million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1031 2062 3093 4124 5155 6186 8248 8689 10310 12372 15465 16496 17378 20620 24744 26067 30930 32992 34756 41240 43445 49488 52134 61860 69512 82480 86890 98976 104268 123720 130335 139024 164960 173780 208536 247440 260670 278048 347560 417072 494880 521340 695120 834144 1042680 1390240 2085360 4170720 8958359 17916718 26875077 35833436 44791795 53750154 71666872 89583590 107500308 134375385 143333744 179167180 215000616 268750770 286667488 358334360 430001232 537501540 716668720 860002464 1075003080 1433337440 2150006160 4300012320