Search a number
-
+
290414952 = 233238910369
BaseRepresentation
bin10001010011110…
…110000101101000
3202020110121102100
4101103312011220
51043321234302
644452333400
710124325552
oct2123660550
9666417370
10290414952
11139a28063
1281314260
1348223089
142a7da4d2
151a768d1c
hex114f6168

290414952 has 48 divisors (see below), whose sum is σ = 788638500. Its totient is φ = 96546816.

The previous prime is 290414923. The next prime is 290414959. The reversal of 290414952 is 259414092.

It can be written as a sum of positive squares in 2 ways, for example, as 243547236 + 46867716 = 15606^2 + 6846^2 .

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 (290414959) 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 11 ways as a sum of consecutive naturals, for example, 22824 + ... + 33192.

Almost surely, 2290414952 is an apocalyptic number.

It is an amenable number.

290414952 is an abundant number, since it is smaller than the sum of its proper divisors (498223548).

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

290414952 is a wasteful number, since it uses less digits than its factorization.

290414952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 290414952 is about 17041.5654210521. The cubic root of 290414952 is about 662.2261467886.

The spelling of 290414952 in words is "two hundred ninety million, four hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 389 778 1167 1556 2334 3112 3501 4668 7002 9336 10369 14004 20738 28008 31107 41476 62214 82952 93321 124428 186642 248856 373284 746568 4033541 8067082 12100623 16134164 24201246 32268328 36301869 48402492 72603738 96804984 145207476 290414952