Search a number
-
+
348057072 = 243211297577
BaseRepresentation
bin10100101111101…
…110110111110000
3220020221010112200
4110233232313300
51203100311242
654312023200
711424302436
oct2457566760
9806833480
10348057072
11169518480
1298691b00
1357155a3c
1434322d56
152085304c
hex14beedf0

348057072 has 120 divisors (see below), whose sum is σ = 1099416240. Its totient is φ = 101821440.

The previous prime is 348057053. The next prime is 348057079. The reversal of 348057072 is 270750843.

348057072 is a `hidden beast` number, since 3 + 4 + 80 + 570 + 7 + 2 = 666.

It is a super-2 number, since 2×3480570722 = 242287450738426368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348057079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42148 + ... + 49724.

It is an arithmetic number, because the mean of its divisors is an integer number (9161802).

Almost surely, 2348057072 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 348057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549708120).

348057072 is an abundant number, since it is smaller than the sum of its proper divisors (751359168).

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

348057072 is a wasteful number, since it uses less digits than its factorization.

348057072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 348057072 is about 18656.2877336302. The cubic root of 348057072 is about 703.4234152094.

The spelling of 348057072 in words is "three hundred forty-eight million, fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2552 2871 3828 4176 5104 5742 7577 7656 11484 15154 15312 22731 22968 30308 45462 45936 60616 68193 83347 90924 121232 136386 166694 181848 219733 250041 272772 333388 363696 439466 500082 545544 659199 666776 750123 878932 1000164 1091088 1318398 1333552 1500246 1757864 1977597 2000328 2417063 2636796 3000492 3515728 3955194 4000656 4834126 5273592 6000984 7251189 7910388 9668252 10547184 12001968 14502378 15820776 19336504 21753567 29004756 31641552 38673008 43507134 58009512 87014268 116019024 174028536 348057072