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3411443430 = 2325103379971
BaseRepresentation
bin1100101101010110…
…0111111011100110
322210202020021121200
43023111213323212
523441312142210
61322303023330
7150352535133
oct31325477346
98722207550
103411443430
1114a0741a3a
127b259ab46
13424a016a5
1424510958a
1514e7680c0
hexcb567ee6

3411443430 has 96 divisors (see below), whose sum is σ = 8988744960. Its totient is φ = 897583680.

The previous prime is 3411443419. The next prime is 3411443461. The reversal of 3411443430 is 343441143.

It is a junction number, because it is equal to n+sod(n) for n = 3411443394 and 3411443403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3512845 + ... + 3513815.

It is an arithmetic number, because the mean of its divisors is an integer number (93632760).

Almost surely, 23411443430 is an apocalyptic number.

3411443430 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 3411443430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494372480).

3411443430 is an abundant number, since it is smaller than the sum of its proper divisors (5577301530).

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

3411443430 is a wasteful number, since it uses less digits than its factorization.

3411443430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3411443430 is about 58407.5631232805. The cubic root of 3411443430 is about 1505.3797094184.

Adding to 3411443430 its reverse (343441143), we get a palindrome (3754884573).

The spelling of 3411443430 in words is "three billion, four hundred eleven million, four hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 379 515 618 758 927 971 1030 1137 1545 1854 1895 1942 2274 2913 3090 3411 3790 4635 4855 5685 5826 6822 8739 9270 9710 11370 14565 17055 17478 29130 34110 39037 43695 78074 87390 100013 117111 195185 200026 234222 300039 351333 368009 390370 500065 585555 600078 702666 736018 900117 1000130 1104027 1171110 1500195 1756665 1800234 1840045 2208054 3000390 3312081 3513330 3680090 4500585 5520135 6624162 9001170 11040270 16560405 33120810 37904927 75809854 113714781 189524635 227429562 341144343 379049270 568573905 682288686 1137147810 1705721715 3411443430