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304950 = 235219107
BaseRepresentation
bin1001010011100110110
3120111022110
41022130312
534224300
610311450
72410032
oct1123466
9514273
10304950
11199128
12128586
13a8a59
147d1c2
1560550
hex4a736

304950 has 48 divisors (see below), whose sum is σ = 803520. Its totient is φ = 76320.

The previous prime is 304949. The next prime is 304961. The reversal of 304950 is 59403.

It is a plaindrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2797 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2304950 is an apocalyptic number.

304950 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 304950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

304950 is an abundant number, since it is smaller than the sum of its proper divisors (498570).

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

304950 is a wasteful number, since it uses less digits than its factorization.

304950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 304950 is about 552.2227811309. Note that the first 3 decimals coincide. The cubic root of 304950 is about 67.3094764572.

The spelling of 304950 in words is "three hundred four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 107 114 150 190 214 285 321 475 535 570 642 950 1070 1425 1605 2033 2675 2850 3210 4066 5350 6099 8025 10165 12198 16050 20330 30495 50825 60990 101650 152475 304950