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348073960 = 235134431511
BaseRepresentation
bin10100101111110…
…010111111101000
3220020221222201011
4110233302333220
51203101331320
654312233304
711424402613
oct2457627750
9806858634
10348073960
1116952a133
129869b834
1357160630
143432917a
152085805a
hex14bf2fe8

348073960 has 64 divisors (see below), whose sum is σ = 845873280. Its totient is φ = 128144640.

The previous prime is 348073937. The next prime is 348073961. The reversal of 348073960 is 69370843.

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

It is not an unprimeable number, because it can be changed into a prime (348073961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229605 + ... + 231115.

It is an arithmetic number, because the mean of its divisors is an integer number (13216770).

Almost surely, 2348073960 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 348073960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422936640).

348073960 is an abundant number, since it is smaller than the sum of its proper divisors (497799320).

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

348073960 is a wasteful number, since it uses less digits than its factorization.

348073960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 348073960 is about 18656.7403369399. The cubic root of 348073960 is about 703.4347919092.

The spelling of 348073960 in words is "three hundred forty-eight million, seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 443 520 886 1511 1772 2215 3022 3544 4430 5759 6044 7555 8860 11518 12088 15110 17720 19643 23036 28795 30220 39286 46072 57590 60440 78572 98215 115180 157144 196430 230360 392860 669373 785720 1338746 2677492 3346865 5354984 6693730 8701849 13387460 17403698 26774920 34807396 43509245 69614792 87018490 174036980 348073960