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422766336 = 2831732381
BaseRepresentation
bin11001001100101…
…110011100000000
31002110111202101110
4121030232130000
51331212010321
6105541203320
713322311626
oct3114563400
91073452343
10422766336
111a7705673
12b9700540
1369782bc5
144020d516
15271ae176
hex1932e700

422766336 has 72 divisors (see below), whose sum is σ = 1191398544. Its totient is φ = 132628480.

The previous prime is 422766301. The next prime is 422766349. The reversal of 422766336 is 633667224.

It is a junction number, because it is equal to n+sod(n) for n = 422766294 and 422766303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3135 + ... + 29246.

It is an arithmetic number, because the mean of its divisors is an integer number (16547202).

Almost surely, 2422766336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595699272).

422766336 is an abundant number, since it is smaller than the sum of its proper divisors (768632208).

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

422766336 is a wasteful number, since it uses less digits than its factorization.

422766336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32417 (or 32403 counting only the distinct ones).

The product of its digits is 217728, while the sum is 39.

The square root of 422766336 is about 20561.2824502753. The cubic root of 422766336 is about 750.5278275547.

The spelling of 422766336 in words is "four hundred twenty-two million, seven hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 32381 64762 97143 129524 194286 259048 388572 518096 550477 777144 1036192 1100954 1554288 1651431 2072384 2201908 3108576 3302862 4144768 4403816 6217152 6605724 8289536 8807632 12434304 13211448 17615264 24868608 26422896 35230528 52845792 70461056 105691584 140922112 211383168 422766336