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322428656 = 24113767739
BaseRepresentation
bin10011001101111…
…101111011110000
3211110201001222002
4103031331323300
51130020204111
651554433132
710663412144
oct2315757360
9743631862
10322428656
11156003470
128bb927a8
1351a517b4
1430b71224
151d48e63b
hex1337def0

322428656 has 80 divisors (see below), whose sum is σ = 711323520. Its totient is φ = 140279040.

The previous prime is 322428593. The next prime is 322428661. The reversal of 322428656 is 656824223.

322428656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 435935 + ... + 436673.

It is an arithmetic number, because the mean of its divisors is an integer number (8891544).

Almost surely, 2322428656 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 322428656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355661760).

322428656 is an abundant number, since it is smaller than the sum of its proper divisors (388894864).

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

322428656 is a wasteful number, since it uses less digits than its factorization.

322428656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 322428656 is about 17956.2985049815. The cubic root of 322428656 is about 685.7164124603.

The spelling of 322428656 in words is "three hundred twenty-two million, four hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 37 44 67 74 88 134 148 176 268 296 407 536 592 737 739 814 1072 1474 1478 1628 2479 2948 2956 3256 4958 5896 5912 6512 8129 9916 11792 11824 16258 19832 27269 27343 32516 39664 49513 54538 54686 65032 99026 109076 109372 130064 198052 218152 218744 300773 396104 436304 437488 544643 601546 792208 1089286 1203092 1831981 2178572 2406184 3663962 4357144 4812368 7327924 8714288 14655848 20151791 29311696 40303582 80607164 161214328 322428656