Search a number
-
+
290844160 = 2951741163
BaseRepresentation
bin10001010101011…
…110111000000000
3202021021102011221
4101111132320000
51043424003120
644505444424
710131064105
oct2125367000
9667242157
10290844160
1113a1a0582
12814a0714
1348343549
142a8acaac
151a8010aa
hex1155ee00

290844160 has 160 divisors (see below), whose sum is σ = 761013792. Its totient is φ = 106168320.

The previous prime is 290844149. The next prime is 290844163. The reversal of 290844160 is 61448092.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2908441602 = 169180650812211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290844163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784239 + ... + 1784401.

Almost surely, 2290844160 is an apocalyptic number.

290844160 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 290844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380506896).

290844160 is an abundant number, since it is smaller than the sum of its proper divisors (470169632).

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

290844160 is a wasteful number, since it uses less digits than its factorization.

290844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 290844160 is about 17054.1537462285. The cubic root of 290844160 is about 662.5522237223.

The spelling of 290844160 in words is "two hundred ninety million, eight hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 128 136 160 163 164 170 205 256 272 320 326 328 340 410 512 544 640 652 656 680 697 815 820 1088 1280 1304 1312 1360 1394 1630 1640 2176 2560 2608 2624 2720 2771 2788 3260 3280 3485 4352 5216 5248 5440 5542 5576 6520 6560 6683 6970 8704 10432 10496 10880 11084 11152 13040 13120 13366 13855 13940 20864 20992 21760 22168 22304 26080 26240 26732 27710 27880 33415 41728 43520 44336 44608 52160 52480 53464 55420 55760 66830 83456 88672 89216 104320 104960 106928 110840 111520 113611 133660 177344 178432 208640 213856 221680 223040 227222 267320 354688 356864 417280 427712 443360 446080 454444 534640 568055 709376 855424 886720 892160 908888 1069280 1136110 1418752 1710848 1773440 1784320 1817776 2138560 2272220 3421696 3546880 3635552 4277120 4544440 7093760 7271104 8554240 9088880 14542208 17108480 18177760 29084416 36355520 58168832 72711040 145422080 290844160