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399372288 = 212374643
BaseRepresentation
bin10111110011011…
…111000000000000
31000211111012210020
4113303133000000
51304214403123
6103343533440
712616415460
oct2763370000
91024435706
10399372288
11195487347
12b18ba280
1364981983
143b07dba0
15250dc7e3
hex17cdf000

399372288 has 104 divisors (see below), whose sum is σ = 1217248128. Its totient is φ = 114081792.

The previous prime is 399372283. The next prime is 399372319. The reversal of 399372288 is 882273993.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 399372288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399372283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83695 + ... + 88337.

Almost surely, 2399372288 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 399372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608624064).

399372288 is an abundant number, since it is smaller than the sum of its proper divisors (817875840).

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

399372288 is an equidigital number, since it uses as much as digits as its factorization.

399372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4655 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 399372288 is about 19984.3010385652. The cubic root of 399372288 is about 736.4206794790.

The spelling of 399372288 in words is "three hundred ninety-nine million, three hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 4643 5376 6144 7168 9286 10752 12288 13929 14336 18572 21504 27858 28672 32501 37144 43008 55716 65002 74288 86016 97503 111432 130004 148576 195006 222864 260008 297152 390012 445728 520016 594304 780024 891456 1040032 1188608 1560048 1782912 2080064 2377216 3120096 3565824 4160128 4754432 6240192 7131648 8320256 9508864 12480384 14263296 16640512 19017728 24960768 28526592 33281024 49921536 57053184 66562048 99843072 133124096 199686144 399372288