Search a number
-
+
10340331000 = 233537434639
BaseRepresentation
bin10011010000101010…
…01110110111111000
3222200122011020111020
421220111032313320
5132134111043000
64430021102440
7514146235416
oct115025166770
928618136436
1010340331000
1144269357aa
122006b57a20
13c8a36966c
147014342b6
15407bd6ba0
hex26854edf8

10340331000 has 128 divisors (see below), whose sum is σ = 32312217600. Its totient is φ = 2753116800.

The previous prime is 10340330981. The next prime is 10340331041. The reversal of 10340331000 is 13304301.

It is a super-2 number, since 2×103403310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226681 + ... + 2231319.

It is an arithmetic number, because the mean of its divisors is an integer number (252439200).

Almost surely, 210340331000 is an apocalyptic number.

10340331000 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 10340331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156108800).

10340331000 is an abundant number, since it is smaller than the sum of its proper divisors (21971886600).

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

10340331000 is a wasteful number, since it uses less digits than its factorization.

10340331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10340331000 its reverse (13304301), we get a palindrome (10353635301).

The spelling of 10340331000 in words is "ten billion, three hundred forty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 743 750 1000 1486 1500 2229 2972 3000 3715 4458 4639 5944 7430 8916 9278 11145 13917 14860 17832 18556 18575 22290 23195 27834 29720 37112 37150 44580 46390 55668 55725 69585 74300 89160 92780 92875 111336 111450 115975 139170 148600 185560 185750 222900 231950 278340 278625 347925 371500 445800 463900 556680 557250 579875 695850 743000 927800 1114500 1159750 1391700 1739625 2229000 2319500 2783400 3446777 3479250 4639000 6893554 6958500 10340331 13787108 13917000 17233885 20680662 27574216 34467770 41361324 51701655 68935540 82722648 86169425 103403310 137871080 172338850 206806620 258508275 344677700 413613240 430847125 517016550 689355400 861694250 1034033100 1292541375 1723388500 2068066200 2585082750 3446777000 5170165500 10340331000