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3430489376 = 252322720533
BaseRepresentation
bin1100110001111001…
…0001110100100000
322212002001220202002
43030132101310200
524011201130001
61324223143132
7151003451516
oct31436216440
98762056662
103430489376
111500470496
127b8a44aa8
1342893c792
142478664b6
1515127b46b
hexcc791d20

3430489376 has 48 divisors (see below), whose sum is σ = 7078809024. Its totient is φ = 1633361664.

The previous prime is 3430489343. The next prime is 3430489379. The reversal of 3430489376 is 6739840343.

It is a self number, because there is not a number n which added to its sum of digits gives 3430489376.

It is not an unprimeable number, because it can be changed into a prime (3430489379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156806 + ... + 177338.

It is an arithmetic number, because the mean of its divisors is an integer number (147475188).

Almost surely, 23430489376 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 3430489376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539404512).

3430489376 is an abundant number, since it is smaller than the sum of its proper divisors (3648319648).

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

3430489376 is a wasteful number, since it uses less digits than its factorization.

3430489376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793 (or 20785 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 47.

The square root of 3430489376 is about 58570.3796812006. The cubic root of 3430489376 is about 1508.1760026477.

The spelling of 3430489376 in words is "three billion, four hundred thirty million, four hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 227 368 454 736 908 1816 3632 5221 7264 10442 20533 20884 41066 41768 82132 83536 164264 167072 328528 472259 657056 944518 1889036 3778072 4660991 7556144 9321982 15112288 18643964 37287928 74575856 107202793 149151712 214405586 428811172 857622344 1715244688 3430489376