Search a number
-
+
3439752144 = 243130754829
BaseRepresentation
bin1100110100000110…
…0111001111010000
322212201111111212120
43031001213033100
524021034032034
61325153454240
7151145260623
oct31501471720
98781444776
103439752144
111505717774
127bbb71380
1342a8338ca
14248b97dba
15151eaac49
hexcd0673d0

3439752144 has 40 divisors (see below), whose sum is σ = 8892987360. Its totient is φ = 1145685888.

The previous prime is 3439752139. The next prime is 3439752149. The reversal of 3439752144 is 4412579343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3439752139) and next prime (3439752149).

It is a junction number, because it is equal to n+sod(n) for n = 3439752096 and 3439752105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439752149) 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, 35322 + ... + 90150.

It is an arithmetic number, because the mean of its divisors is an integer number (222324684).

Almost surely, 23439752144 is an apocalyptic number.

It is an amenable number.

3439752144 is an abundant number, since it is smaller than the sum of its proper divisors (5453235216).

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

3439752144 is a wasteful number, since it uses less digits than its factorization.

3439752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56147 (or 56141 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 3439752144 is about 58649.4002015366. The cubic root of 3439752144 is about 1509.5322065990.

The spelling of 3439752144 in words is "three billion, four hundred thirty-nine million, seven hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1307 2614 3921 5228 7842 10456 15684 20912 31368 54829 62736 109658 164487 219316 328974 438632 657948 877264 1315896 2631792 71661503 143323006 214984509 286646012 429969018 573292024 859938036 1146584048 1719876072 3439752144