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283374240 = 2535590363
BaseRepresentation
bin10000111000111…
…111001010100000
3201202012220101020
4100320333022200
51040020433430
644041405440
710010432652
oct2070771240
9652186336
10283374240
11135a59296
127aa99880
1346929486
14298c66d2
1519d27b10
hex10e3f2a0

283374240 has 48 divisors (see below), whose sum is σ = 892630368. Its totient is φ = 75566336.

The previous prime is 283374229. The next prime is 283374271. The reversal of 283374240 is 42473382.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 294702 + ... + 295661.

It is an arithmetic number, because the mean of its divisors is an integer number (18596466).

Almost surely, 2283374240 is an apocalyptic number.

283374240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283374240 is an abundant number, since it is smaller than the sum of its proper divisors (609256128).

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

283374240 is a wasteful number, since it uses less digits than its factorization.

283374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590381 (or 590373 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 283374240 is about 16833.7232958131. The cubic root of 283374240 is about 656.8307193453.

The spelling of 283374240 in words is "two hundred eighty-three million, three hundred seventy-four thousand, two hundred forty".

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 590363 1180726 1771089 2361452 2951815 3542178 4722904 5903630 7084356 8855445 9445808 11807260 14168712 17710890 18891616 23614520 28337424 35421780 47229040 56674848 70843560 94458080 141687120 283374240