Search a number
-
+
3430434700 = 22527112101401
BaseRepresentation
bin1100110001111000…
…0100011110001100
322212001222010202001
43030132010132030
524011142402300
61324222042044
7151003133230
oct31436043614
98761863661
103430434700
111500433400
127b8a19324
13428920924
142478505c0
1515126a16a
hexcc78478c

3430434700 has 216 divisors, whose sum is σ = 9467331552. Its totient is φ = 1056000000.

The previous prime is 3430434697. The next prime is 3430434701. The reversal of 3430434700 is 74340343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3430434701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8554500 + ... + 8554900.

Almost surely, 23430434700 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 3430434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733665776).

3430434700 is an abundant number, since it is smaller than the sum of its proper divisors (6036896852).

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

3430434700 is a wasteful number, since it uses less digits than its factorization.

3430434700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 3430434700 is about 58569.9129246408. The cubic root of 3430434700 is about 1508.1679900426.

It can be divided in two parts, 343043 and 4700, that added together give a palindrome (347743).

The spelling of 3430434700 in words is "three billion, four hundred thirty million, four hundred thirty-four thousand, seven hundred".