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390038336 = 26471271021
BaseRepresentation
bin10111001111111…
…000001101000000
31000011221000000022
4113033320031000
51244322211321
6102411513012
712444162002
oct2717701500
91004830008
10390038336
11190191636
12aa758768
1362a6431c
1439b30372
1524396dab
hex173f8340

390038336 has 56 divisors (see below), whose sum is σ = 797454336. Its totient is φ = 189181440.

The previous prime is 390038333. The next prime is 390038359. The reversal of 390038336 is 633830093.

It is a junction number, because it is equal to n+sod(n) for n = 390038296 and 390038305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390038333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381506 + ... + 382526.

It is an arithmetic number, because the mean of its divisors is an integer number (14240256).

Almost surely, 2390038336 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 390038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398727168).

390038336 is an abundant number, since it is smaller than the sum of its proper divisors (407416000).

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

390038336 is a wasteful number, since it uses less digits than its factorization.

390038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 390038336 is about 19749.3882436900. The cubic root of 390038336 is about 730.6382957946.

The spelling of 390038336 in words is "three hundred ninety million, thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 127 188 254 376 508 752 1016 1021 1504 2032 2042 3008 4064 4084 5969 8128 8168 11938 16336 23876 32672 47752 47987 65344 95504 95974 129667 191008 191948 259334 382016 383896 518668 767792 1037336 1535584 2074672 3071168 4149344 6094349 8298688 12188698 24377396 48754792 97509584 195019168 390038336