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348450240 = 2635362969
BaseRepresentation
bin10100110001001…
…110110111000000
3220021200002212110
4110301032313000
51203200401430
654324255320
711430530625
oct2461166700
9807602773
10348450240
11169766906
1298841540
1357262998
14343c634c
15208ce7b0
hex14c4edc0

348450240 has 56 divisors (see below), whose sum is σ = 1106332560. Its totient is φ = 92919808.

The previous prime is 348450233. The next prime is 348450257. The reversal of 348450240 is 42054843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 348450198 and 348450207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180525 + ... + 182444.

Almost surely, 2348450240 is an apocalyptic number.

348450240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348450240 is an abundant number, since it is smaller than the sum of its proper divisors (757882320).

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

348450240 is a wasteful number, since it uses less digits than its factorization.

348450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362989 (or 362979 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 348450240 is about 18666.8219041164. The cubic root of 348450240 is about 703.6881797444.

The spelling of 348450240 in words is "three hundred forty-eight million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 362969 725938 1088907 1451876 1814845 2177814 2903752 3629690 4355628 5444535 5807504 7259380 8711256 10889070 11615008 14518760 17422512 21778140 23230016 29037520 34845024 43556280 58075040 69690048 87112560 116150080 174225120 348450240