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13433234340 = 22353111363913
BaseRepresentation
bin11001000001010111…
…01110001110100100
31021200012000000020210
430200223232032210
5210002401444330
610100544455420
7653613415341
oct144053561644
937605000223
1013433234340
11577378a869
12272a91a570
13136107b496
149161017c8
155394cc8b0
hex320aee3a4

13433234340 has 96 divisors (see below), whose sum is σ = 39170589696. Its totient is φ = 3435909120.

The previous prime is 13433234317. The next prime is 13433234363. The reversal of 13433234340 is 4343233431.

It is an interprime number because it is at equal distance from previous prime (13433234317) and next prime (13433234363).

It is a super-3 number, since 3×134332343403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13433234298 and 13433234307.

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, 178224 + ... + 242136.

It is an arithmetic number, because the mean of its divisors is an integer number (408026976).

Almost surely, 213433234340 is an apocalyptic number.

13433234340 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 13433234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585294848).

13433234340 is an abundant number, since it is smaller than the sum of its proper divisors (25737355356).

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

13433234340 is a wasteful number, since it uses less digits than its factorization.

13433234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64069 (or 64067 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13433234340 its reverse (4343233431), we get a palindrome (17776467771).

Subtracting from 13433234340 its reverse (4343233431), we obtain a palindrome (9090000909).

The spelling of 13433234340 in words is "thirteen billion, four hundred thirty-three million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 113 124 155 186 226 310 339 372 452 465 565 620 678 930 1130 1356 1695 1860 2260 3390 3503 6780 7006 10509 14012 17515 21018 35030 42036 52545 63913 70060 105090 127826 191739 210180 255652 319565 383478 639130 766956 958695 1278260 1917390 1981303 3834780 3962606 5943909 7222169 7925212 9906515 11887818 14444338 19813030 21666507 23775636 28888676 29719545 36110845 39626060 43333014 59439090 72221690 86666028 108332535 118878180 144443380 216665070 223887239 433330140 447774478 671661717 895548956 1119436195 1343323434 2238872390 2686646868 3358308585 4477744780 6716617170 13433234340