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440321796 = 2232412691109
BaseRepresentation
bin11010001111101…
…100011100000100
31010200112122221200
4122033230130010
51400210244141
6111405342500
713624450005
oct3217543404
91120478850
10440321796
11206606312
12103567a30
13702bb755
144269d1ac
15289caab6
hex1a3ec704

440321796 has 72 divisors (see below), whose sum is σ = 1145453400. Its totient is φ = 142533120.

The previous prime is 440321771. The next prime is 440321801. The reversal of 440321796 is 697123044.

It can be written as a sum of positive squares in 4 ways, for example, as 94361796 + 345960000 = 9714^2 + 18600^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 440321796.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396490 + ... + 397598.

It is an arithmetic number, because the mean of its divisors is an integer number (15909075).

Almost surely, 2440321796 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 440321796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572726700).

440321796 is an abundant number, since it is smaller than the sum of its proper divisors (705131604).

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

440321796 is a wasteful number, since it uses less digits than its factorization.

440321796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 440321796 is about 20983.8460726341. The cubic root of 440321796 is about 760.7758674058.

The spelling of 440321796 in words is "four hundred forty million, three hundred twenty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 269 369 492 538 738 807 1076 1109 1476 1614 2218 2421 3228 3327 4436 4842 6654 9684 9981 11029 13308 19962 22058 33087 39924 44116 45469 66174 90938 99261 132348 136407 181876 198522 272814 298321 397044 409221 545628 596642 818442 894963 1193284 1636884 1789926 2684889 3579852 5369778 10739556 12231161 24462322 36693483 48924644 73386966 110080449 146773932 220160898 440321796