Search a number
-
+
296300040 = 23357183419
BaseRepresentation
bin10001101010010…
…010111000001000
3202122112121020120
4101222102320020
51101323100130
645222423240
710225336341
oct2152227010
9678477216
10296300040
11142287673
1283291b20
134950398a
142b4cd0c8
151b02c910
hex11a92e08

296300040 has 128 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 76778240.

The previous prime is 296300027. The next prime is 296300083. The reversal of 296300040 is 40003692.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 706951 + ... + 707369.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2296300040 is an apocalyptic number.

296300040 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 296300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

296300040 is an abundant number, since it is smaller than the sum of its proper divisors (618157560).

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

296300040 is a wasteful number, since it uses less digits than its factorization.

296300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 296300040 is about 17213.3680608996. The cubic root of 296300040 is about 666.6694744326.

The spelling of 296300040 in words is "two hundred ninety-six million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 83 120 142 166 213 249 284 332 355 415 419 426 498 568 664 710 830 838 852 996 1065 1245 1257 1420 1660 1676 1704 1992 2095 2130 2490 2514 2840 3320 3352 4190 4260 4980 5028 5893 6285 8380 8520 9960 10056 11786 12570 16760 17679 23572 25140 29465 29749 34777 35358 47144 50280 58930 59498 69554 70716 88395 89247 104331 117860 118996 139108 141432 148745 173885 176790 178494 208662 235720 237992 278216 297490 347770 353580 356988 417324 446235 521655 594980 695540 707160 713976 834648 892470 1043310 1189960 1391080 1784940 2086620 2469167 3569880 4173240 4938334 7407501 9876668 12345835 14815002 19753336 24691670 29630004 37037505 49383340 59260008 74075010 98766680 148150020 296300040