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348040128 = 2637332473
BaseRepresentation
bin10100101111101…
…010101111000000
3220020220021022010
4110233222233000
51203044241003
654311412520
711424202152
oct2457525700
9806807263
10348040128
11169506777
1298684140
135714b107
143431aad2
152084d003
hex14beabc0

348040128 has 56 divisors (see below), whose sum is σ = 922485328. Its totient is φ = 115808256.

The previous prime is 348040127. The next prime is 348040139. The reversal of 348040128 is 821040843.

It is a super-2 number, since 2×3480401282 = 242263861396512768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348040095 and 348040104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348040127) 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, 139500 + ... + 141972.

Almost surely, 2348040128 is an apocalyptic number.

It is an amenable number.

348040128 is an abundant number, since it is smaller than the sum of its proper divisors (574445200).

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

348040128 is a wasteful number, since it uses less digits than its factorization.

348040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 348040128 is about 18655.8336184690. The cubic root of 348040128 is about 703.4120004150.

The spelling of 348040128 in words is "three hundred forty-eight million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 733 1466 2199 2473 2932 4398 4946 5864 7419 8796 9892 11728 14838 17592 19784 23456 29676 35184 39568 46912 59352 70368 79136 118704 140736 158272 237408 474816 1812709 3625418 5438127 7250836 10876254 14501672 21752508 29003344 43505016 58006688 87010032 116013376 174020064 348040128