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290006316 = 223271831367
BaseRepresentation
bin10001010010010…
…010010100101100
3202012200211212200
4101102102110230
51043220200231
644435501500
710121004315
oct2122222454
9665624780
10290006316
11139779046
1281157890
134810c092
142a73160c
151a6d7be6
hex1149252c

290006316 has 72 divisors (see below), whose sum is σ = 752903424. Its totient is φ = 94090080.

The previous prime is 290006279. The next prime is 290006317. The reversal of 290006316 is 613600092.

It is a happy number.

290006316 is a `hidden beast` number, since 29 + 0 + 0 + 0 + 631 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 290006316.

It is not an unprimeable number, because it can be changed into a prime (290006317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211465 + ... + 212831.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2290006316 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 290006316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

290006316 is an abundant number, since it is smaller than the sum of its proper divisors (462897108).

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

290006316 is a wasteful number, since it uses less digits than its factorization.

290006316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 290006316 is about 17029.5718090620. The cubic root of 290006316 is about 661.9154000865.

The spelling of 290006316 in words is "two hundred ninety million, six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 83 142 166 213 249 284 332 426 498 639 747 852 996 1278 1367 1494 2556 2734 2988 4101 5468 5893 8202 11786 12303 16404 17679 23572 24606 35358 49212 53037 70716 97057 106074 113461 194114 212148 226922 291171 340383 388228 453844 582342 680766 873513 1021149 1164684 1361532 1747026 2042298 3494052 4084596 8055731 16111462 24167193 32222924 48334386 72501579 96668772 145003158 290006316