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944070820 = 2257112292677
BaseRepresentation
bin111000010001010…
…110000010100100
32102210102202200221
4320101112002210
53413140231240
6233402414124
732252320030
oct7021260244
92383382627
10944070820
114449a3420
12224201344
131207870b4
148d54d1c0
1557d34a4a
hex384560a4

944070820 has 96 divisors (see below), whose sum is σ = 2483470080. Its totient is φ = 292861440.

The previous prime is 944070781. The next prime is 944070823. The reversal of 944070820 is 28070449.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (944070823) by changing a digit.

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, 351322 + ... + 353998.

It is an arithmetic number, because the mean of its divisors is an integer number (25869480).

Almost surely, 2944070820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944070820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241735040).

944070820 is an abundant number, since it is smaller than the sum of its proper divisors (1539399260).

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

944070820 is a wasteful number, since it uses less digits than its factorization.

944070820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 944070820 is about 30725.7354671943. The cubic root of 944070820 is about 980.9981569598.

The spelling of 944070820 in words is "nine hundred forty-four million, seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 229 308 385 458 770 916 1145 1540 1603 2290 2519 2677 3206 4580 5038 5354 6412 8015 10076 10708 12595 13385 16030 17633 18739 25190 26770 29447 32060 35266 37478 50380 53540 58894 70532 74956 88165 93695 117788 147235 176330 187390 206129 294470 352660 374780 412258 588940 613033 824516 1030645 1226066 2061290 2452132 3065165 4122580 4291231 6130330 6743363 8582462 12260660 13486726 17164924 21456155 26973452 33716815 42912310 47203541 67433630 85824620 94407082 134867260 188814164 236017705 472035410 944070820