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348895440 = 24325484577
BaseRepresentation
bin10100110010111…
…011100011010000
3220022111201120100
4110302323203100
51203304123230
654342012400
711434363605
oct2462734320
9808451510
10348895440
11169a40343
1298a17100
135738a50a
14344a06ac
152096b660
hex14cbb8d0

348895440 has 60 divisors (see below), whose sum is σ = 1171709604. Its totient is φ = 93038592.

The previous prime is 348895399. The next prime is 348895451. The reversal of 348895440 is 44598843.

It is a happy number.

348895440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180311184 + 168584256 = 13428^2 + 12984^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241569 + ... + 243008.

Almost surely, 2348895440 is an apocalyptic number.

348895440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348895440 is an abundant number, since it is smaller than the sum of its proper divisors (822814164).

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

348895440 is a wasteful number, since it uses less digits than its factorization.

348895440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484596 (or 484587 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 348895440 is about 18678.7429983926. The cubic root of 348895440 is about 703.9877429856.

The spelling of 348895440 in words is "three hundred forty-eight million, eight hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 484577 969154 1453731 1938308 2422885 2907462 3876616 4361193 4845770 5814924 7268655 7753232 8722386 9691540 11629848 14537310 17444772 19383080 21805965 23259696 29074620 34889544 38766160 43611930 58149240 69779088 87223860 116298480 174447720 348895440