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290620134 = 232717223347
BaseRepresentation
bin10001010100101…
…000001011100110
3202020212000212200
4101110220023212
51043344321014
644500555330
710126142010
oct2124501346
9666760780
10290620134
1113a058232
12813b2b46
134829559c
142a8511b0
151a7a9a09
hex115282e6

290620134 has 144 divisors (see below), whose sum is σ = 799987968. Its totient is φ = 74536704.

The previous prime is 290620123. The next prime is 290620139. The reversal of 290620134 is 431026092.

290620134 is a `hidden beast` number, since 2 + 9 + 0 + 620 + 1 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 290620098 and 290620107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290620139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 837349 + ... + 837695.

It is an arithmetic number, because the mean of its divisors is an integer number (5555472).

Almost surely, 2290620134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290620134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399993984).

290620134 is an abundant number, since it is smaller than the sum of its proper divisors (509367834).

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

290620134 is a wasteful number, since it uses less digits than its factorization.

290620134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290620134 is about 17047.5844036626. The cubic root of 290620134 is about 662.3820672480.

The spelling of 290620134 in words is "two hundred ninety million, six hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 289 306 322 347 357 391 414 483 578 694 714 782 867 966 1041 1071 1173 1449 1734 2023 2082 2142 2346 2429 2601 2737 2898 3123 3519 4046 4858 5202 5474 5899 6069 6246 6647 7038 7287 7981 8211 11798 12138 13294 14574 15962 16422 17697 18207 19941 21861 23943 24633 35394 36414 39882 41293 43722 46529 47886 49266 53091 55867 59823 71829 82586 93058 100283 106182 111734 119646 123879 135677 139587 143658 167601 200566 247758 271354 279174 300849 335202 371637 407031 418761 502803 601698 701981 743274 814062 837522 902547 949739 1005606 1221093 1403962 1805094 1899478 2105943 2306509 2442186 2849217 4211886 4613018 5698434 6317829 6919527 8547651 12635658 13839054 16145563 17095302 20758581 32291126 41517162 48436689 96873378 145310067 290620134