Search a number
-
+
290211328 = 29112272
BaseRepresentation
bin10001010011000…
…100011000000000
3202020002021002201
4101103010120000
51043243230303
644444122544
710122520111
oct2123043000
9666067081
10290211328
111398a9080
1281236454
13481814a4
142a786208
151a72881d
hex114c4600

290211328 has 60 divisors (see below), whose sum is σ = 635368932. Its totient is φ = 131333120.

The previous prime is 290211277. The next prime is 290211329. The reversal of 290211328 is 823112092.

It is a super-2 number, since 2×2902113282 = 168445229799047168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290211296 and 290211305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290211329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1278351 + ... + 1278577.

Almost surely, 2290211328 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 290211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317684466).

290211328 is an abundant number, since it is smaller than the sum of its proper divisors (345157604).

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

290211328 is an frugal number, since it uses more digits than its factorization.

290211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 290211328 is about 17035.5900396787. The cubic root of 290211328 is about 662.0713376511.

The spelling of 290211328 in words is "two hundred ninety million, two hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 227 256 352 454 512 704 908 1408 1816 2497 2816 3632 4994 5632 7264 9988 14528 19976 29056 39952 51529 58112 79904 103058 116224 159808 206116 319616 412232 566819 639232 824464 1133638 1278464 1648928 2267276 3297856 4534552 6595712 9069104 13191424 18138208 26382848 36276416 72552832 145105664 290211328