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2378028312 = 2332114369827
BaseRepresentation
bin1000110110111101…
…1101010100011000
320010201200100120200
42031233131110120
514332233401222
61031545222200
7112633623102
oct21557352430
96121610520
102378028312
111010375960
12564491960
132bb894c5a
14187b80572
15ddb85eac
hex8dbdd518

2378028312 has 96 divisors (see below), whose sum is σ = 7189490880. Its totient is φ = 703846080.

The previous prime is 2378028311. The next prime is 2378028337. The reversal of 2378028312 is 2138208732.

It is a happy number.

2378028312 is a `hidden beast` number, since 2 + 378 + 0 + 283 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378028311) by changing a digit.

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, 858 + ... + 68969.

It is an arithmetic number, because the mean of its divisors is an integer number (74890530).

Almost surely, 22378028312 is an apocalyptic number.

2378028312 is a gapful number since it is divisible by the number (22) 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 2378028312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594745440).

2378028312 is an abundant number, since it is smaller than the sum of its proper divisors (4811462568).

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

2378028312 is a wasteful number, since it uses less digits than its factorization.

2378028312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69893 (or 69886 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2378028312 is about 48765.0316517892. The cubic root of 2378028312 is about 1334.7676538790.

The spelling of 2378028312 in words is "two billion, three hundred seventy-eight million, twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 69827 139654 209481 279308 418962 558616 628443 768097 837924 1256886 1536194 1675848 2304291 2513772 3002561 3072388 4608582 5027544 6005122 6144776 6912873 9007683 9217164 12010244 13825746 18015366 18434328 24020488 27023049 27651492 33028171 36030732 54046098 55302984 66056342 72061464 99084513 108092196 132112684 198169026 216184392 264225368 297253539 396338052 594507078 792676104 1189014156 2378028312