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10340210320 = 24511101317367
BaseRepresentation
bin10011010000101001…
…10001011010010000
3222200121221002221121
421220110301122100
5132134043212240
64430014332024
7514145223526
oct115024613220
928617832847
1010340210320
114426863070
122006aba014
13c8a32675b
14701402316
15407bb104a
hex268531690

10340210320 has 160 divisors (see below), whose sum is σ = 26642151936. Its totient is φ = 3700992000.

The previous prime is 10340210311. The next prime is 10340210327. The reversal of 10340210320 is 2301204301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10340210294 and 10340210303.

It is not an unprimeable number, because it can be changed into a prime (10340210327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28174777 + ... + 28175143.

Almost surely, 210340210320 is an apocalyptic number.

10340210320 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 10340210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321075968).

10340210320 is an abundant number, since it is smaller than the sum of its proper divisors (16301941616).

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

10340210320 is a wasteful number, since it uses less digits than its factorization.

10340210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

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

Adding to 10340210320 its reverse (2301204301), we get a palindrome (12641414621).

The spelling of 10340210320 in words is "ten billion, three hundred forty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 317 367 404 440 505 634 734 808 880 1010 1111 1268 1468 1585 1616 1835 2020 2222 2536 2936 3170 3487 3670 4037 4040 4444 5072 5555 5872 6340 6974 7340 8074 8080 8888 11110 12680 13948 14680 16148 17435 17776 20185 22220 25360 27896 29360 32017 32296 34870 37067 40370 44440 55792 64034 64592 69740 74134 80740 88880 116339 128068 139480 148268 160085 161480 185335 232678 256136 278960 296536 320170 322960 352187 370670 407737 465356 512272 581695 593072 640340 704374 741340 815474 930712 1163390 1279729 1280680 1408748 1482680 1630948 1760935 1861424 2038685 2326780 2559458 2561360 2817496 2965360 3261896 3521870 4077370 4653560 5118916 5634992 6398645 6523792 7043740 8154740 9307120 10237832 11750239 12797290 14087480 16309480 20475664 23500478 25594580 28174960 32618960 47000956 51189160 58751195 94001912 102378320 117502390 129252629 188003824 235004780 258505258 470009560 517010516 646263145 940019120 1034021032 1292526290 2068042064 2585052580 5170105160 10340210320