Search a number
-
+
290154432 = 2635092969
BaseRepresentation
bin10001010010110…
…110011111000000
3202012222101001110
4101102312133000
51043234420212
644443003320
710122162201
oct2122663700
9665871043
10290154432
1113986a357
1281209540
1348161619
142a76d5a8
151a716a3c
hex114b67c0

290154432 has 56 divisors (see below), whose sum is σ = 769467600. Its totient is φ = 96495616.

The previous prime is 290154427. The next prime is 290154437. The reversal of 290154432 is 234451092.

290154432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (290154427) and next prime (290154437).

It is a self number, because there is not a number n which added to its sum of digits gives 290154432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290154437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96244 + ... + 99212.

Almost surely, 2290154432 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 290154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384733800).

290154432 is an abundant number, since it is smaller than the sum of its proper divisors (479313168).

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

290154432 is a wasteful number, since it uses less digits than its factorization.

290154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 290154432 is about 17033.9200420807. The cubic root of 290154432 is about 662.0280684089.

The spelling of 290154432 in words is "two hundred ninety million, one hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 509 1018 1527 2036 2969 3054 4072 5938 6108 8144 8907 11876 12216 16288 17814 23752 24432 32576 35628 47504 48864 71256 95008 97728 142512 190016 285024 570048 1511221 3022442 4533663 6044884 9067326 12089768 18134652 24179536 36269304 48359072 72538608 96718144 145077216 290154432