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3409510014 = 2323113146643
BaseRepresentation
bin1100101100111000…
…1111111001111110
322210121121001110200
43023032033321332
523440313310024
61322153344330
7150330233301
oct31316177176
98717531420
103409510014
11149a641379
127b1a080a6
134244a5661
14244b64b38
1514e4d52c9
hexcb38fe7e

3409510014 has 48 divisors (see below), whose sum is σ = 7683945984. Its totient is φ = 1091422800.

The previous prime is 3409509997. The next prime is 3409510037. The reversal of 3409510014 is 4100159043.

It is a self number, because there is not a number n which added to its sum of digits gives 3409510014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49777 + ... + 96419.

It is an arithmetic number, because the mean of its divisors is an integer number (160082208).

Almost surely, 23409510014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409510014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841972992).

3409510014 is an abundant number, since it is smaller than the sum of its proper divisors (4274435970).

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

3409510014 is a wasteful number, since it uses less digits than its factorization.

3409510014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46813 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3409510014 is about 58391.0097018368. The cubic root of 3409510014 is about 1505.0952672372.

Adding to 3409510014 its reverse (4100159043), we get a palindrome (7509669057).

The spelling of 3409510014 in words is "three billion, four hundred nine million, five hundred ten thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 131 186 262 279 393 558 786 1179 2358 4061 8122 12183 24366 36549 46643 73098 93286 139929 279858 419787 839574 1445933 2891866 4337799 6110233 8675598 12220466 13013397 18330699 26026794 36661398 54992097 109984194 189417223 378834446 568251669 1136503338 1704755007 3409510014