Search a number
-
+
296333840 = 24511523
BaseRepresentation
bin10001101010011…
…011001000010000
3202122121022121102
4101222123020100
51101330140330
645223243532
710225540025
oct2152331020
9678538542
10296333840
11142300000
12832a95a8
134951618a
142b4db54c
151b037945
hex11a9b210

296333840 has 120 divisors (see below), whose sum is σ = 790824384. Its totient is φ = 103072640.

The previous prime is 296333839. The next prime is 296333857. The reversal of 296333840 is 48333692.

It is a junction number, because it is equal to n+sod(n) for n = 296333794 and 296333803.

It is an unprimeable number.

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, 12884069 + ... + 12884091.

Almost surely, 2296333840 is an apocalyptic number.

296333840 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 296333840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395412192).

296333840 is an abundant number, since it is smaller than the sum of its proper divisors (494490544).

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

296333840 is an frugal number, since it uses more digits than its factorization.

296333840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 296333840 is about 17214.3498279778. The cubic root of 296333840 is about 666.6948232552.

The spelling of 296333840 in words is "two hundred ninety-six million, three hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 121 176 184 220 230 242 253 368 440 460 484 506 605 880 920 968 1012 1210 1265 1331 1840 1936 2024 2420 2530 2662 2783 4048 4840 5060 5324 5566 6655 9680 10120 10648 11132 13310 13915 14641 20240 21296 22264 26620 27830 29282 30613 44528 53240 55660 58564 61226 73205 106480 111320 117128 122452 146410 153065 161051 222640 234256 244904 292820 306130 322102 336743 489808 585640 612260 644204 673486 805255 1171280 1224520 1288408 1346972 1610510 1683715 2449040 2576816 2693944 3221020 3367430 3704173 5387888 6442040 6734860 7408346 12884080 13469720 14816692 18520865 26939440 29633384 37041730 59266768 74083460 148166920 296333840