Search a number
-
+
1023708444 = 2231138320249
BaseRepresentation
bin111101000001001…
…000110100011100
32122100021202222120
4331001020310130
54044032132234
6245325342540
734240243503
oct7501106434
92570252876
101023708444
11485947340
12246a07a50
1313411b555
1499d5d83a
155ed16049
hex3d048d1c

1023708444 has 48 divisors (see below), whose sum is σ = 2612736000. Its totient is φ = 309389440.

The previous prime is 1023708421. The next prime is 1023708463. The reversal of 1023708444 is 4448073201.

It is a super-2 number, since 2×10237084442 = 2095957956633802272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40432 + ... + 60680.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 21023708444 is an apocalyptic number.

It is an amenable number.

1023708444 is an abundant number, since it is smaller than the sum of its proper divisors (1589027556).

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

1023708444 is a wasteful number, since it uses less digits than its factorization.

1023708444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1023708444 is about 31995.4441131859. Note that the first 3 decimals coincide. The cubic root of 1023708444 is about 1007.8411700174.

The spelling of 1023708444 in words is "one billion, twenty-three million, seven hundred eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 383 766 1149 1532 2298 4213 4596 8426 12639 16852 20249 25278 40498 50556 60747 80996 121494 222739 242988 445478 668217 890956 1336434 2672868 7755367 15510734 23266101 31021468 46532202 85309037 93064404 170618074 255927111 341236148 511854222 1023708444