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3000342432 = 253378310177
BaseRepresentation
bin1011001011010101…
…1001011110100000
321202002200012001210
42302311121132200
522121041424212
61213415430120
7134231330013
oct26265313640
97662605053
103000342432
1112aa68474a
126b8985340
1338a7a4369
1420669537a
1512861053c
hexb2d597a0

3000342432 has 96 divisors (see below), whose sum is σ = 8187020352. Its totient is φ = 961265664.

The previous prime is 3000342299. The next prime is 3000342437. The reversal of 3000342432 is 2342430003.

3000342432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3000342399 and 3000342408.

It is not an unprimeable number, because it can be changed into a prime (3000342437) 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, 289728 + ... + 299904.

It is an arithmetic number, because the mean of its divisors is an integer number (85281462).

Almost surely, 23000342432 is an apocalyptic number.

3000342432 is a gapful number since it is divisible by the number (32) 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 3000342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093510176).

3000342432 is an abundant number, since it is smaller than the sum of its proper divisors (5186677920).

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

3000342432 is a wasteful number, since it uses less digits than its factorization.

3000342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3000342432 is about 54775.3816234994. The cubic root of 3000342432 is about 1442.3044429313.

Adding to 3000342432 its reverse (2342430003), we get a palindrome (5342772435).

The spelling of 3000342432 in words is "three billion, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 83 96 111 148 166 222 249 296 332 444 498 592 664 888 996 1184 1328 1776 1992 2656 3071 3552 3984 6142 7968 9213 10177 12284 18426 20354 24568 30531 36852 40708 49136 61062 73704 81416 98272 122124 147408 162832 244248 294816 325664 376549 488496 753098 844691 976992 1129647 1506196 1689382 2259294 2534073 3012392 3378764 4518588 5068146 6024784 6757528 9037176 10136292 12049568 13515056 18074352 20272584 27030112 31253567 36148704 40545168 62507134 81090336 93760701 125014268 187521402 250028536 375042804 500057072 750085608 1000114144 1500171216 3000342432