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399073068 = 22351512719
BaseRepresentation
bin10111110010010…
…101111100101100
31000210221000100000
4113302111330230
51304130314233
6103333304300
712614031222
oct2762257454
91023830300
10399073068
111952a2559
12b1795090
13648a8714
143b002b12
152507dd13
hex17c95f2c

399073068 has 72 divisors (see below), whose sum is σ = 1053445120. Its totient is φ = 132094800.

The previous prime is 399073061. The next prime is 399073091. The reversal of 399073068 is 860370993.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (399073061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145413 + ... + 148131.

Almost surely, 2399073068 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 399073068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526722560).

399073068 is an abundant number, since it is smaller than the sum of its proper divisors (654372052).

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

399073068 is a wasteful number, since it uses less digits than its factorization.

399073068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 399073068 is about 19976.8132593765. The cubic root of 399073068 is about 736.2367184178.

The spelling of 399073068 in words is "three hundred ninety-nine million, seventy-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 906 972 1359 1812 2718 2719 4077 5436 5438 8154 8157 10876 12231 16308 16314 24462 24471 32628 36693 48924 48942 73386 73413 97884 146772 146826 220239 293652 410569 440478 660717 821138 880956 1231707 1321434 1642276 2463414 2642868 3695121 4926828 7390242 11085363 14780484 22170726 33256089 44341452 66512178 99768267 133024356 199536534 399073068