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988344864 = 253213277953
BaseRepresentation
bin111010111010001…
…111001000100000
32112212202010021100
4322322033020200
54011004013424
6242023354400
733330535623
oct7272171040
92485663240
10988344864
11467993141
12236bb2a00
131299b9160
1495395dba
155bb7cdc9
hex3ae8f220

988344864 has 144 divisors (see below), whose sum is σ = 3040920792. Its totient is φ = 302690304.

The previous prime is 988344839. The next prime is 988344887. The reversal of 988344864 is 468443889.

It can be written as a sum of positive squares in 4 ways, for example, as 471237264 + 517107600 = 21708^2 + 22740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 988344864.

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, 1036612 + ... + 1037564.

Almost surely, 2988344864 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 988344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520460396).

988344864 is an abundant number, since it is smaller than the sum of its proper divisors (2052575928).

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

988344864 is a wasteful number, since it uses less digits than its factorization.

988344864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1248 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 988344864 is about 31437.9526050918. The cubic root of 988344864 is about 996.0997625914.

The spelling of 988344864 in words is "nine hundred eighty-eight million, three hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 277 288 312 416 468 554 624 831 936 953 1108 1248 1662 1872 1906 2216 2493 2859 3324 3601 3744 3812 4432 4986 5718 6648 7202 7624 8577 8864 9972 10803 11436 12389 13296 14404 15248 17154 19944 21606 22872 24778 26592 28808 30496 32409 34308 37167 39888 43212 45744 49556 57616 64818 68616 74334 79776 86424 91488 99112 111501 115232 129636 137232 148668 172848 198224 223002 259272 263981 274464 297336 345696 396448 446004 518544 527962 594672 791943 892008 1037088 1055924 1189344 1583886 1784016 2111848 2375829 3167772 3431753 3568032 4223696 4751658 6335544 6863506 8447392 9503316 10295259 12671088 13727012 19006632 20590518 25342176 27454024 30885777 38013264 41181036 54908048 61771554 76026528 82362072 109816096 123543108 164724144 247086216 329448288 494172432 988344864