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282340431768 = 233107137802523
BaseRepresentation
bin1000001101111001100…
…11010001011110011000
3222222202210100000022110
410012330303101132120
514111213122304033
6333412211152320
726253442033563
oct4067463213630
9888683300273
10282340431768
11a98158a430a
12468772a56a0
13208172b4355
14d945a114da
15752714e363
hex41bccd1798

282340431768 has 64 divisors (see below), whose sum is σ = 717649061760. Its totient is φ = 92553257216.

The previous prime is 282340431757. The next prime is 282340431799. The reversal of 282340431768 is 867134043282.

It is a super-2 number, since 2×2823404317682 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49446 + ... + 753077.

It is an arithmetic number, because the mean of its divisors is an integer number (11213266590).

Almost surely, 2282340431768 is an apocalyptic number.

It is an amenable number.

282340431768 is an abundant number, since it is smaller than the sum of its proper divisors (435308629992).

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

282340431768 is a wasteful number, since it uses less digits than its factorization.

282340431768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802776 (or 802772 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 282340431768 in words is "two hundred eighty-two billion, three hundred forty million, four hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 107 137 214 274 321 411 428 548 642 822 856 1096 1284 1644 2568 3288 14659 29318 43977 58636 87954 117272 175908 351816 802523 1605046 2407569 3210092 4815138 6420184 9630276 19260552 85869961 109945651 171739922 219891302 257609883 329836953 343479844 439782604 515219766 659673906 686959688 879565208 1030439532 1319347812 2060879064 2638695624 11764184657 23528369314 35292553971 47056738628 70585107942 94113477256 141170215884 282340431768