Search a number
-
+
4334345680 = 24577739903
BaseRepresentation
bin1000000100101100…
…01101110111010000
3102012001211120111111
410002112031313100
532334043030210
61554032023104
7212260221220
oct40226156720
912161746444
104334345680
111924697075
12a0b691a94
13540c864b2
142d1908080
151a57ba88a
hex10258ddd0

4334345680 has 40 divisors (see below), whose sum is σ = 11516977152. Its totient is φ = 1486061184.

The previous prime is 4334345669. The next prime is 4334345689. The reversal of 4334345680 is 865434334.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334345689) 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, 3869392 + ... + 3870511.

Almost surely, 24334345680 is an apocalyptic number.

4334345680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334345680 is an abundant number, since it is smaller than the sum of its proper divisors (7182631472).

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

4334345680 is a wasteful number, since it uses less digits than its factorization.

4334345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739923 (or 7739917 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The square root of 4334345680 is about 65835.7477363172. The cubic root of 4334345680 is about 1630.4513635782.

The spelling of 4334345680 in words is "four billion, three hundred thirty-four million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7739903 15479806 30959612 38699515 54179321 61919224 77399030 108358642 123838448 154798060 216717284 270896605 309596120 433434568 541793210 619192240 866869136 1083586420 2167172840 4334345680