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283910345940 = 2235135313994909
BaseRepresentation
bin1000010000110100110…
…00000001010011010100
31000010211012101220200210
410020122120001103110
514122422022032230
6334232052005420
726340364060044
oct4103230012324
91003735356623
10283910345940
11aa450a97041
1247035000870
1320a07615050
14da54313724
1575b9da8eb0
hex421a6014d4

283910345940 has 192 divisors, whose sum is σ = 873052992000. Its totient is φ = 68504057856.

The previous prime is 283910345923. The next prime is 283910345959. The reversal of 283910345940 is 49543019382.

It is a self number, because there is not a number n which added to its sum of digits gives 283910345940.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 57832206 + ... + 57837114.

It is an arithmetic number, because the mean of its divisors is an integer number (4547151000).

Almost surely, 2283910345940 is an apocalyptic number.

283910345940 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 283910345940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436526496000).

283910345940 is an abundant number, since it is smaller than the sum of its proper divisors (589142646060).

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

283910345940 is a wasteful number, since it uses less digits than its factorization.

283910345940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 283910345940 in words is "two hundred eighty-three billion, nine hundred ten million, three hundred forty-five thousand, nine hundred forty".