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390506994 = 2344361919
BaseRepresentation
bin10111010001101…
…010100111110010
31000012210210220000
4113101222213302
51244432210434
6102425530430
712451153233
oct2721524762
91005723800
10390506994
11190481759
12aa943a16
1362b99737
1439c1308a
152443ab99
hex1746a9f2

390506994 has 80 divisors (see below), whose sum is σ = 911042880. Its totient is φ = 124921440.

The previous prime is 390506971. The next prime is 390506999. The reversal of 390506994 is 499605093.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (390506999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424467 + ... + 425385.

It is an arithmetic number, because the mean of its divisors is an integer number (11388036).

Almost surely, 2390506994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390506994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455521440).

390506994 is an abundant number, since it is smaller than the sum of its proper divisors (520535886).

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

390506994 is a wasteful number, since it uses less digits than its factorization.

390506994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 390506994 is about 19761.2498086533. The cubic root of 390506994 is about 730.9308161235.

It can be divided in two parts, 39050699 and 4, that added together give a triangular number (39050703 = T8837).

The spelling of 390506994 in words is "three hundred ninety million, five hundred six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 43 54 61 81 86 122 129 162 183 258 366 387 549 774 919 1098 1161 1647 1838 2322 2623 2757 3294 3483 4941 5246 5514 6966 7869 8271 9882 15738 16542 23607 24813 39517 47214 49626 56059 70821 74439 79034 112118 118551 141642 148878 168177 212463 237102 336354 355653 424926 504531 711306 1009062 1066959 1513593 2133918 2410537 3027186 3200877 4540779 4821074 6401754 7231611 9081558 14463222 21694833 43389666 65084499 130168998 195253497 390506994