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302144430 = 235712711329
BaseRepresentation
bin10010000000100…
…101101110101110
3210001112112020110
4102000211232232
51104322110210
645552000450
710326120360
oct2200455656
9701475213
10302144430
11145609645
1285230126
134a79bbb3
142c1b0d30
151b7d4420
hex12025bae

302144430 has 64 divisors (see below), whose sum is σ = 835338240. Its totient is φ = 68511744.

The previous prime is 302144419. The next prime is 302144431. The reversal of 302144430 is 34441203.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 302144397 and 302144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302144431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21006 + ... + 32334.

It is an arithmetic number, because the mean of its divisors is an integer number (13052160).

Almost surely, 2302144430 is an apocalyptic number.

302144430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 302144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417669120).

302144430 is an abundant number, since it is smaller than the sum of its proper divisors (533193810).

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

302144430 is a wasteful number, since it uses less digits than its factorization.

302144430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 302144430 is about 17382.3022065548. The cubic root of 302144430 is about 671.0242224489.

Adding to 302144430 its reverse (34441203), we get a palindrome (336585633).

The spelling of 302144430 in words is "three hundred two million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1270 1778 1905 2667 3810 4445 5334 8890 11329 13335 22658 26670 33987 56645 67974 79303 113290 158606 169935 237909 339870 396515 475818 793030 1189545 1438783 2379090 2877566 4316349 7193915 8632698 10071481 14387830 20142962 21581745 30214443 43163490 50357405 60428886 100714810 151072215 302144430