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390574041 = 311132591187
BaseRepresentation
bin10111010001111…
…010111111011001
31000012221012212020
4113101322333121
51244441332131
6102431205053
712451552554
oct2721727731
91005835766
10390574041
11190518070
12aa976789
1362bc1100
1439c2d69b
1524450996
hex1747afd9

390574041 has 48 divisors (see below), whose sum is σ = 626123520. Its totient is φ = 214618560.

The previous prime is 390574027. The next prime is 390574061. The reversal of 390574041 is 140475093.

It is not a de Polignac number, because 390574041 - 26 = 390573977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 390573993 and 390574011.

It is not an unprimeable number, because it can be changed into a prime (390574061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328450 + ... + 329636.

It is an arithmetic number, because the mean of its divisors is an integer number (13044240).

Almost surely, 2390574041 is an apocalyptic number.

It is an amenable number.

390574041 is a deficient number, since it is larger than the sum of its proper divisors (235549479).

390574041 is a wasteful number, since it uses less digits than its factorization.

390574041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 390574041 is about 19762.9461619466. The cubic root of 390574041 is about 730.9726454332.

The spelling of 390574041 in words is "three hundred ninety million, five hundred seventy-four thousand, forty-one".

Divisors: 1 3 11 13 33 39 59 143 169 177 429 507 649 767 1187 1859 1947 2301 3561 5577 8437 9971 13057 15431 25311 29913 39171 46293 70033 109681 169741 200603 210099 329043 509223 601809 770363 910429 2206633 2311089 2731287 6619899 10014719 11835577 30044157 35506731 130191347 390574041