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10234434320 = 24511103112913
BaseRepresentation
bin10011000100000010…
…10001001100010000
3222102020220010112222
421202001101030100
5131430003344240
64411315240212
7511422153635
oct114201211420
928366803488
1010234434320
114382086a90
121b975a9068
13c7143cbc6
146d134a18c
153ed769eb5
hex262051310

10234434320 has 80 divisors (see below), whose sum is σ = 26210500992. Its totient is φ = 3685447680.

The previous prime is 10234434313. The next prime is 10234434323. The reversal of 10234434320 is 2343443201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10234434320.

It is not an unprimeable number, because it can be changed into a prime (10234434323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34184 + ... + 147096.

Almost surely, 210234434320 is an apocalyptic number.

10234434320 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 10234434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105250496).

10234434320 is an abundant number, since it is smaller than the sum of its proper divisors (15976066672).

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

10234434320 is a wasteful number, since it uses less digits than its factorization.

10234434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113040 (or 113034 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10234434320 its reverse (2343443201), we get a palindrome (12577877521).

The spelling of 10234434320 in words is "ten billion, two hundred thirty-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5665 8240 9064 11330 18128 22660 45320 90640 112913 225826 451652 564565 903304 1129130 1242043 1806608 2258260 2484086 4516520 4968172 6210215 9033040 9936344 11630039 12420430 19872688 23260078 24840860 46520156 49681720 58150195 93040312 99363440 116300390 127930429 186080624 232600780 255860858 465201560 511721716 639652145 930403120 1023443432 1279304290 2046886864 2558608580 5117217160 10234434320