Search a number
-
+
1002343400 = 235241251487
BaseRepresentation
bin111011101111101…
…000101111101000
32120212002022122122
4323233220233220
54023044442100
6243243410412
733560530652
oct7357505750
92525068578
101002343400
11474884483
1223b823a08
1312c87aa06
149719b6d2
155cee5985
hex3bbe8be8

1002343400 has 96 divisors (see below), whose sum is σ = 2401721280. Its totient is φ = 388800000.

The previous prime is 1002343379. The next prime is 1002343403. The reversal of 1002343400 is 43432001.

It is not an unprimeable number, because it can be changed into a prime (1002343403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2057957 + ... + 2058443.

It is an arithmetic number, because the mean of its divisors is an integer number (25017930).

Almost surely, 21002343400 is an apocalyptic number.

1002343400 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 1002343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200860640).

1002343400 is an abundant number, since it is smaller than the sum of its proper divisors (1399377880).

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

1002343400 is a wasteful number, since it uses less digits than its factorization.

1002343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1002343400 is about 31659.8073272722. The cubic root of 1002343400 is about 1000.7805239572.

Adding to 1002343400 its reverse (43432001), we get a palindrome (1045775401).

The spelling of 1002343400 in words is "one billion, two million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 251 328 410 487 502 820 974 1004 1025 1255 1640 1948 2008 2050 2435 2510 3896 4100 4870 5020 6275 8200 9740 10040 10291 12175 12550 19480 19967 20582 24350 25100 39934 41164 48700 50200 51455 79868 82328 97400 99835 102910 122237 159736 199670 205820 244474 257275 399340 411640 488948 499175 514550 611185 798680 977896 998350 1029100 1222370 1996700 2058200 2444740 3055925 3993400 4889480 5011717 6111850 10023434 12223700 20046868 24447400 25058585 40093736 50117170 100234340 125292925 200468680 250585850 501171700 1002343400