Search a number
-
+
20344000000 = 29562543
BaseRepresentation
bin10010111100100110…
…001100111000000000
31221111210211021112111
4102330212030320000
5313131031000000
613202414305104
71320100101232
oct227446147000
957453737474
1020344000000
11869a726345
123b391b8194
131bc2a3cb2c
14dadc70252
157e106bcba
hex4bc98ce00

20344000000 has 140 divisors (see below), whose sum is σ = 50829661872. Its totient is φ = 8134400000.

The previous prime is 20343999983. The next prime is 20344000013. The reversal of 20344000000 is 44302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7998729 + ... + 8001271.

Almost surely, 220344000000 is an apocalyptic number.

20344000000 is a gapful number since it is divisible by the number (20) 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 20344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25414830936).

20344000000 is an abundant number, since it is smaller than the sum of its proper divisors (30485661872).

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

20344000000 is an frugal number, since it uses more digits than its factorization.

20344000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 20344000000 its reverse (44302), we get a palindrome (20344044302).

The spelling of 20344000000 in words is "twenty billion, three hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2543 2560 3125 3200 4000 5000 5086 6250 6400 8000 10000 10172 12500 12715 12800 15625 16000 20000 20344 25000 25430 31250 32000 40000 40688 50000 50860 62500 63575 64000 80000 81376 100000 101720 125000 127150 160000 162752 200000 203440 250000 254300 317875 320000 325504 400000 406880 500000 508600 635750 651008 800000 813760 1000000 1017200 1271500 1302016 1589375 1600000 1627520 2000000 2034400 2543000 3178750 3255040 4000000 4068800 5086000 6357500 6510080 7946875 8000000 8137600 10172000 12715000 15893750 16275200 20344000 25430000 31787500 32550400 39734375 40688000 50860000 63575000 79468750 81376000 101720000 127150000 158937500 162752000 203440000 254300000 317875000 406880000 508600000 635750000 813760000 1017200000 1271500000 2034400000 2543000000 4068800000 5086000000 10172000000 20344000000