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285346940 = 225193124223
BaseRepresentation
bin10001000000100…
…000110001111100
3201212221010102012
4101000200301330
51041022100230
644151550352
710033260164
oct2100406174
9655833365
10285346940
1113708641a
127b68b3b8
134716a358
1429c7b5a4
151a0b7395
hex11020c7c

285346940 has 48 divisors (see below), whose sum is σ = 651141120. Its totient is φ = 104639040.

The previous prime is 285346931. The next prime is 285346967. The reversal of 285346940 is 49643582.

It is a congruent number.

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, 332 + ... + 23891.

It is an arithmetic number, because the mean of its divisors is an integer number (13565440).

Almost surely, 2285346940 is an apocalyptic number.

285346940 is a gapful number since it is divisible by the number (20) 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 285346940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325570560).

285346940 is an abundant number, since it is smaller than the sum of its proper divisors (365794180).

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

285346940 is a wasteful number, since it uses less digits than its factorization.

285346940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 285346940 is about 16892.2153668487. The cubic root of 285346940 is about 658.3513642803.

The spelling of 285346940 in words is "two hundred eighty-five million, three hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 11780 24223 48446 96892 121115 242230 460237 484460 750913 920474 1501826 1840948 2301185 3003652 3754565 4602370 7509130 9204740 14267347 15018260 28534694 57069388 71336735 142673470 285346940