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320406198 = 23727314929
BaseRepresentation
bin10011000110010…
…000001010110110
3211022220022200020
4103012100022312
51124010444243
651443230010
710640256600
oct2306201266
9738808606
10320406198
11154951a12
128b378306
13514c4088
14307a6170
151d1e0283
hex131902b6

320406198 has 48 divisors (see below), whose sum is σ = 755696880. Its totient is φ = 90284544.

The previous prime is 320406193. The next prime is 320406209. The reversal of 320406198 is 891604023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320406193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13998 + ... + 28926.

It is an arithmetic number, because the mean of its divisors is an integer number (15743685).

Almost surely, 2320406198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320406198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377848440).

320406198 is an abundant number, since it is smaller than the sum of its proper divisors (435290682).

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

320406198 is a wasteful number, since it uses less digits than its factorization.

320406198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15021 (or 15014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 320406198 is about 17899.8937985676. The cubic root of 320406198 is about 684.2796683041.

The spelling of 320406198 in words is "three hundred twenty million, four hundred six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1022 1533 3066 3577 7154 10731 14929 21462 29858 44787 89574 104503 209006 313509 627018 731521 1089817 1463042 2179634 2194563 3269451 4389126 6538902 7628719 15257438 22886157 45772314 53401033 106802066 160203099 320406198