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397735002 = 23375319853
BaseRepresentation
bin10111101101001…
…111010001011010
31000201102000212000
4113231033101122
51303310010002
6103244501430
712566456160
oct2755172132
91021360760
10397735002
11194569215
12b124a876
136452a672
143ab75230
1524db761c
hex17b4f45a

397735002 has 64 divisors (see below), whose sum is σ = 1029231360. Its totient is φ = 111488832.

The previous prime is 397735001. The next prime is 397735007. The reversal of 397735002 is 200537793.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (397735001) 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 31 ways as a sum of consecutive naturals, for example, 10108 + ... + 29960.

It is an arithmetic number, because the mean of its divisors is an integer number (16081740).

Almost surely, 2397735002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397735002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514615680).

397735002 is an abundant number, since it is smaller than the sum of its proper divisors (631496358).

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

397735002 is a wasteful number, since it uses less digits than its factorization.

397735002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 397735002 is about 19943.2946626178. The cubic root of 397735002 is about 735.4129457934.

The spelling of 397735002 in words is "three hundred ninety-seven million, seven hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 19853 20034 39706 59559 119118 138971 178677 277942 357354 416913 536031 833826 1052209 1072062 1250739 2104418 2501478 3156627 3752217 6313254 7365463 7504434 9469881 14730926 18939762 22096389 28409643 44192778 56819286 66289167 132578334 198867501 397735002