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3311411430 = 235238953923
BaseRepresentation
bin1100010101100000…
…0010000011100110
322112210000010111210
43011120002003212
523240210131210
61304331012250
7145026350505
oct30530020346
98483003453
103311411430
11144a229468
12784b9a086
1340a079462
14235b0a83c
15145aa8e20
hexc56020e6

3311411430 has 64 divisors (see below), whose sum is σ = 8386260480. Its totient is φ = 835143936.

The previous prime is 3311411401. The next prime is 3311411449. The reversal of 3311411430 is 341141133.

It is a super-3 number, since 3×33114114303 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3311411397 and 3311411406.

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, 34449 + ... + 88371.

It is an arithmetic number, because the mean of its divisors is an integer number (131035320).

Almost surely, 23311411430 is an apocalyptic number.

3311411430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193130240).

3311411430 is an abundant number, since it is smaller than the sum of its proper divisors (5074849050).

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

3311411430 is a wasteful number, since it uses less digits than its factorization.

3311411430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54045.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3311411430 is about 57544.8644971904. The cubic root of 3311411430 is about 1490.5196796931.

Adding to 3311411430 its reverse (341141133), we get a palindrome (3652552563).

It can be divided in two parts, 33114 and 11430, that added together give a palindrome (44544).

The spelling of 3311411430 in words is "three billion, three hundred eleven million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 890 1335 2047 2670 4094 6141 10235 12282 20470 30705 53923 61410 107846 161769 269615 323538 539230 808845 1240229 1617690 2480458 3720687 4799147 6201145 7441374 9598294 12402290 14397441 18603435 23995735 28794882 37206870 47991470 71987205 110380381 143974410 220760762 331141143 551901905 662282286 1103803810 1655705715 3311411430