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322680096 = 25328313499
BaseRepresentation
bin10011001110111…
…011010100100000
3211111011211212200
4103032323110200
51130101230341
652004053200
710665510204
oct2316732440
9744154780
10322680096
11156165372
1290094200
1351b0c08b
1430bd8b04
151d4dddb6
hex133bb520

322680096 has 72 divisors (see below), whose sum is σ = 928746000. Its totient is φ = 106256256.

The previous prime is 322680089. The next prime is 322680101. The reversal of 322680096 is 690086223.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 322680096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17155 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2322680096 is an apocalyptic number.

322680096 is a gapful number since it is divisible by the number (36) 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 322680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464373000).

322680096 is an abundant number, since it is smaller than the sum of its proper divisors (606065904).

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

322680096 is a wasteful number, since it uses less digits than its factorization.

322680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13598 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 322680096 is about 17963.2985835007. The cubic root of 322680096 is about 685.8946138829.

The spelling of 322680096 in words is "three hundred twenty-two million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 13499 23904 26998 40497 53996 80994 107992 121491 161988 215984 242982 323976 431968 485964 647952 971928 1120417 1295904 1943856 2240834 3361251 3887712 4481668 6722502 8963336 10083753 13445004 17926672 20167506 26890008 35853344 40335012 53780016 80670024 107560032 161340048 322680096