Search a number
-
+
290034864 = 2433795911
BaseRepresentation
bin10001010010011…
…001010010110000
3202012202022001000
4101102121102300
51043222103424
644440242000
710121153460
oct2122312260
9665668030
10290034864
11139798539
1281170300
134811c082
142a73bba0
151a6e13c9
hex114994b0

290034864 has 80 divisors (see below), whose sum is σ = 951447040. Its totient is φ = 82866240.

The previous prime is 290034859. The next prime is 290034869. The reversal of 290034864 is 468430092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (290034859) and next prime (290034869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290034869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44932 + ... + 50979.

It is an arithmetic number, because the mean of its divisors is an integer number (11893088).

Almost surely, 2290034864 is an apocalyptic number.

290034864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290034864 is an abundant number, since it is smaller than the sum of its proper divisors (661412176).

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

290034864 is a wasteful number, since it uses less digits than its factorization.

290034864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95935 (or 95923 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 290034864 is about 17030.4099774492. The cubic root of 290034864 is about 661.9371188558.

The spelling of 290034864 in words is "two hundred ninety million, thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 95911 191822 287733 383644 575466 671377 767288 863199 1150932 1342754 1534576 1726398 2014131 2301864 2589597 2685508 3452796 4028262 4603728 5179194 5371016 6042393 6905592 8056524 10358388 10742032 12084786 13811184 16113048 18127179 20716776 24169572 32226096 36254358 41433552 48339144 72508716 96678288 145017432 290034864