Search a number
-
+
3412044330 = 2351743315451
BaseRepresentation
bin1100101101011111…
…1010101000101010
322210210100210220020
43023113322220222
523441440404310
61322323541310
7150360620052
oct31327725052
98723323806
103412044330
1114a1012452
127b282a836
13424b82056
14245224562
1514e836170
hexcb5faa2a

3412044330 has 64 divisors (see below), whose sum is σ = 8691193728. Its totient is φ = 854323200.

The previous prime is 3412044283. The next prime is 3412044371. The reversal of 3412044330 is 334402143.

It is a self number, because there is not a number n which added to its sum of digits gives 3412044330.

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, 213105 + ... + 228555.

It is an arithmetic number, because the mean of its divisors is an integer number (135799902).

Almost surely, 23412044330 is an apocalyptic number.

3412044330 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 3412044330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345596864).

3412044330 is an abundant number, since it is smaller than the sum of its proper divisors (5279149398).

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

3412044330 is a wasteful number, since it uses less digits than its factorization.

3412044330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15911.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3412044330 is about 58412.7069223812. The cubic root of 3412044330 is about 1505.4680913188.

Adding to 3412044330 its reverse (334402143), we get a palindrome (3746446473).

The spelling of 3412044330 in words is "three billion, four hundred twelve million, forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 433 510 866 1299 2165 2598 4330 6495 7361 12990 14722 15451 22083 30902 36805 44166 46353 73610 77255 92706 110415 154510 220830 231765 262667 463530 525334 788001 1313335 1576002 2626670 3940005 6690283 7880010 13380566 20070849 33451415 40141698 66902830 100354245 113734811 200708490 227469622 341204433 568674055 682408866 1137348110 1706022165 3412044330