Search a number
-
+
1002342000 = 243531115187
BaseRepresentation
bin111011101111101…
…000011001110000
32120212002020201210
4323233220121300
54023044421000
6243243400120
733560523612
oct7357503160
92525066653
101002342000
11474883420
1223b823040
1312c87a19a
149719adb2
155cee5350
hex3bbe8670

1002342000 has 160 divisors (see below), whose sum is σ = 3525560064. Its totient is φ = 242976000.

The previous prime is 1002341987. The next prime is 1002342007. The reversal of 1002342000 is 2432001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002342007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58407 + ... + 73593.

Almost surely, 21002342000 is an apocalyptic number.

1002342000 is a gapful number since it is divisible by the number (10) 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 1002342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762780032).

1002342000 is an abundant number, since it is smaller than the sum of its proper divisors (2523218064).

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

1002342000 is a wasteful number, since it uses less digits than its factorization.

1002342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1002342000 is about 31659.7852172121. The cubic root of 1002342000 is about 1000.7800580179.

Adding to 1002342000 its reverse (2432001), we get a palindrome (1004774001).

Subtracting from 1002342000 its reverse (2432001), we obtain a palindrome (999909999).

The spelling of 1002342000 in words is "one billion, two million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 15187 16500 22000 30374 33000 45561 60748 66000 75935 91122 121496 151870 167057 182244 227805 242992 303740 334114 364488 379675 455610 501171 607480 668228 728976 759350 835285 911220 1002342 1139025 1214960 1336456 1518700 1670570 1822440 1898375 2004684 2278050 2505855 2672912 3037400 3341140 3644880 3796750 4009368 4176425 4556100 5011710 5695125 6074800 6682280 7593500 8018736 8352850 9112200 10023420 11390250 12529275 13364560 15187000 16705700 18224400 20046840 20882125 22780500 25058550 30374000 33411400 40093680 41764250 45561000 50117100 62646375 66822800 83528500 91122000 100234200 125292750 167057000 200468400 250585500 334114000 501171000 1002342000