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290085376 = 297292791
BaseRepresentation
bin10001010010100…
…101101000000000
3202012211212022211
4101102211220000
51043230213001
644441311504
710121453650
oct2122455000
9665755284
10290085376
11139822489
1281195594
1348139069
142a752360
151a701351
hex114a5a00

290085376 has 80 divisors (see below), whose sum is σ = 685491840. Its totient is φ = 119992320.

The previous prime is 290085329. The next prime is 290085391. The reversal of 290085376 is 673580092.

It is a super-2 number, since 2×2900853762 = 168299050738122752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102541 + ... + 105331.

It is an arithmetic number, because the mean of its divisors is an integer number (8568648).

Almost surely, 2290085376 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 290085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342745920).

290085376 is an abundant number, since it is smaller than the sum of its proper divisors (395406464).

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

290085376 is an equidigital number, since it uses as much as digits as its factorization.

290085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 290085376 is about 17031.8929071316. The cubic root of 290085376 is about 661.9755439224.

The spelling of 290085376 in words is "two hundred ninety million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1624 1792 1856 2791 3248 3584 3712 5582 6496 7424 11164 12992 14848 19537 22328 25984 39074 44656 51968 78148 80939 89312 103936 156296 161878 178624 312592 323756 357248 566573 625184 647512 714496 1133146 1250368 1295024 1428992 2266292 2500736 2590048 4532584 5001472 5180096 9065168 10002944 10360192 18130336 20720384 36260672 41440768 72521344 145042688 290085376