Search a number
-
+
10344301000 = 2353112234217
BaseRepresentation
bin10011010001001000…
…11000000111001000
3222200220121221022021
421220210120013020
5132141120113000
64430242134224
7514225051645
oct115044300710
928626557267
1010344301000
1144290a74a0
122008351374
13c8b129687
14701b88dcc
1540821d11a
hex2689181c8

10344301000 has 128 divisors (see below), whose sum is σ = 26530882560. Its totient is φ = 3743808000.

The previous prime is 10344300997. The next prime is 10344301013. The reversal of 10344301000 is 10344301.

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, 2450892 + ... + 2455108.

It is an arithmetic number, because the mean of its divisors is an integer number (207272520).

Almost surely, 210344301000 is an apocalyptic number.

10344301000 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 10344301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265441280).

10344301000 is an abundant number, since it is smaller than the sum of its proper divisors (16186581560).

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

10344301000 is a wasteful number, since it uses less digits than its factorization.

10344301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10344301000 its reverse (10344301), we get a palindrome (10354645301).

10344301000 divided by its reverse (10344301) gives a cube (1000 = 103).

It can be divided in two parts, 1034 and 4301000, that added together give a palindrome (4302034).

The spelling of 10344301000 in words is "ten billion, three hundred forty-four million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 223 250 275 440 446 500 550 892 1000 1100 1115 1375 1784 2200 2230 2453 2750 4217 4460 4906 5500 5575 8434 8920 9812 11000 11150 12265 16868 19624 21085 22300 24530 27875 33736 42170 44600 46387 49060 55750 61325 84340 92774 98120 105425 111500 122650 168680 185548 210850 223000 231935 245300 306625 371096 421700 463870 490600 527125 613250 843400 927740 940391 1054250 1159675 1226500 1855480 1880782 2108500 2319350 2453000 3761564 4217000 4638700 4701955 5798375 7523128 9277400 9403910 10344301 11596750 18807820 20688602 23193500 23509775 37615640 41377204 46387000 47019550 51721505 82754408 94039100 103443010 117548875 188078200 206886020 235097750 258607525 413772040 470195500 517215050 940391000 1034430100 1293037625 2068860200 2586075250 5172150500 10344301000