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290317040 = 245132353229
BaseRepresentation
bin10001010011011…
…110001011110000
3202020021122002222
4101103132023300
51043310121130
644450300212
710123440236
oct2123361360
9666248088
10290317040
11139970542
1281287668
13481ba640
142a7b2956
151a749ce5
hex114de2f0

290317040 has 160 divisors (see below), whose sum is σ = 776200320. Its totient is φ = 100159488.

The previous prime is 290317003. The next prime is 290317043. The reversal of 290317040 is 40713092.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290317043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267646 + ... + 1267874.

It is an arithmetic number, because the mean of its divisors is an integer number (4851252).

Almost surely, 2290317040 is an apocalyptic number.

290317040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388100160).

290317040 is an abundant number, since it is smaller than the sum of its proper divisors (485883280).

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

290317040 is a wasteful number, since it uses less digits than its factorization.

290317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 290317040 is about 17038.6924380951. The cubic root of 290317040 is about 662.1517163065.

The spelling of 290317040 in words is "two hundred ninety million, three hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 53 65 80 92 104 106 115 130 184 208 212 229 230 260 265 299 368 424 458 460 520 530 598 689 848 916 920 1040 1060 1145 1196 1219 1378 1495 1832 1840 2120 2290 2392 2438 2756 2977 2990 3445 3664 4240 4580 4784 4876 5267 5512 5954 5980 6095 6890 9160 9752 10534 11024 11908 11960 12137 12190 13780 14885 15847 18320 19504 21068 23816 23920 24274 24380 26335 27560 29770 31694 42136 47632 48548 48760 52670 55120 59540 60685 63388 68471 79235 84272 97096 97520 105340 119080 121370 126776 136942 157781 158470 194192 210680 238160 242740 253552 273884 279151 315562 316940 342355 421360 485480 547768 558302 631124 633880 684710 788905 970960 1095536 1116604 1262248 1267760 1369420 1395755 1577810 2233208 2524496 2738840 2791510 3155620 3628963 4466416 5477680 5583020 6311240 7257926 11166040 12622480 14515852 18144815 22332080 29031704 36289630 58063408 72579260 145158520 290317040