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290903388 = 223176197241
BaseRepresentation
bin10001010101101…
…101010101011100
3202021101102102120
4101111231111130
51043432402023
644511022540
710131431556
oct2125552534
9667342376
10290903388
1113a231026
128150aa50
13483644a9
142a8c64d6
151a8138e3
hex1156d55c

290903388 has 96 divisors (see below), whose sum is σ = 741077568. Its totient is φ = 88473600.

The previous prime is 290903377. The next prime is 290903407. The reversal of 290903388 is 883309092.

290903388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2909033882 = 169249562299757088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206948 + ... + 1207188.

It is an arithmetic number, because the mean of its divisors is an integer number (7719558).

Almost surely, 2290903388 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 290903388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370538784).

290903388 is an abundant number, since it is smaller than the sum of its proper divisors (450174180).

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

290903388 is a wasteful number, since it uses less digits than its factorization.

290903388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 290903388 is about 17055.8901262878. The cubic root of 290903388 is about 662.5971950907.

The spelling of 290903388 in words is "two hundred ninety million, nine hundred three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 97 102 122 183 194 204 241 244 291 366 388 482 582 723 732 964 1037 1164 1446 1649 2074 2892 3111 3298 4097 4148 4947 5917 6222 6596 8194 9894 11834 12291 12444 14701 16388 17751 19788 23377 23668 24582 29402 35502 44103 46754 49164 58804 70131 71004 88206 93508 100589 140262 176412 201178 249917 280524 301767 397409 402356 499834 603534 749751 794818 999668 1192227 1207068 1425997 1499502 1589636 2384454 2851994 2999004 4277991 4768908 5703988 8555982 17111964 24241949 48483898 72725847 96967796 145451694 290903388