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3430111640 = 23537262639
BaseRepresentation
bin1100110001110011…
…0101100110011000
322212001100201120212
43030130311212120
524011102033030
61324211110252
7151000316324
oct31434654630
98761321525
103430111640
11150023270a
127b88a2388
13428839877
142477a8984
15151204595
hexcc735998

3430111640 has 48 divisors (see below), whose sum is σ = 7932103200. Its totient is φ = 1334941056.

The previous prime is 3430111639. The next prime is 3430111649. The reversal of 3430111640 is 461110343.

3430111640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430111649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23441 + ... + 86079.

It is an arithmetic number, because the mean of its divisors is an integer number (165252150).

Almost surely, 23430111640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966051600).

3430111640 is an abundant number, since it is smaller than the sum of its proper divisors (4501991560).

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

3430111640 is a wasteful number, since it uses less digits than its factorization.

3430111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62724 (or 62683 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3430111640 is about 58567.1549590724. The cubic root of 3430111640 is about 1508.1206448236.

Adding to 3430111640 its reverse (461110343), we get a palindrome (3891221983).

The spelling of 3430111640 in words is "three billion, four hundred thirty million, one hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1369 1480 2738 5476 6845 10952 13690 27380 54760 62639 125278 250556 313195 501112 626390 1252780 2317643 2505560 4635286 9270572 11588215 18541144 23176430 46352860 85752791 92705720 171505582 343011164 428763955 686022328 857527910 1715055820 3430111640