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390229002 = 23411321317
BaseRepresentation
bin10111010000100…
…110110000001010
31000012021200120000
4113100212300022
51244344312002
6102415543430
712445614612
oct2720466012
91005250500
10390229002
11190301909
12aa82ab76
1362b00047
1439b7da42
15243d361c
hex17426c0a

390229002 has 40 divisors (see below), whose sum is σ = 882181476. Its totient is φ = 128919168.

The previous prime is 390229001. The next prime is 390229003. The reversal of 390229002 is 200922093.

It is an interprime number because it is at equal distance from previous prime (390229001) and next prime (390229003).

It can be written as a sum of positive squares in 2 ways, for example, as 388838961 + 1390041 = 19719^2 + 1179^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (390229001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7648 + ... + 28964.

Almost surely, 2390229002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390229002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441090738).

390229002 is an abundant number, since it is smaller than the sum of its proper divisors (491952474).

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

390229002 is a wasteful number, since it uses less digits than its factorization.

390229002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21444 (or 21435 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390229002 is about 19754.2147907731. The cubic root of 390229002 is about 730.7573312627.

The spelling of 390229002 in words is "three hundred ninety million, two hundred twenty-nine thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 21317 42634 63951 127902 191853 383706 575559 1151118 1726677 2408821 3453354 4817642 7226463 14452926 21679389 43358778 65038167 130076334 195114501 390229002