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299749104 = 243229179401
BaseRepresentation
bin10001110111011…
…100111011110000
3202220000211110200
4101313130323300
51103213432404
645424355200
710266553044
oct2167347360
9686024420
10299749104
11144222a36
1284475b00
134a140845
142bb4a024
151b4ae839
hex11ddcef0

299749104 has 120 divisors (see below), whose sum is σ = 874832400. Its totient is φ = 95692800.

The previous prime is 299749081. The next prime is 299749129. The reversal of 299749104 is 401947992.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 299749104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747304 + ... + 747704.

It is an arithmetic number, because the mean of its divisors is an integer number (7290270).

Almost surely, 2299749104 is an apocalyptic number.

299749104 is a gapful number since it is divisible by the number (24) 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 299749104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437416200).

299749104 is an abundant number, since it is smaller than the sum of its proper divisors (575083296).

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

299749104 is a wasteful number, since it uses less digits than its factorization.

299749104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 299749104 is about 17313.2638170854. The cubic root of 299749104 is about 669.2462779784.

The spelling of 299749104 in words is "two hundred ninety-nine million, seven hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 179 232 261 348 358 401 464 522 537 696 716 802 1044 1074 1203 1392 1432 1604 1611 2088 2148 2406 2864 3208 3222 3609 4176 4296 4812 5191 6416 6444 7218 8592 9624 10382 11629 12888 14436 15573 19248 20764 23258 25776 28872 31146 34887 41528 46516 46719 57744 62292 69774 71779 83056 93032 93438 104661 124584 139548 143558 186064 186876 209322 215337 249168 279096 287116 373752 418644 430674 558192 574232 646011 747504 837288 861348 1148464 1292022 1674576 1722696 2081591 2584044 3445392 4163182 5168088 6244773 8326364 10336176 12489546 16652728 18734319 24979092 33305456 37468638 49958184 74937276 99916368 149874552 299749104