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348035040 = 25325241691
BaseRepresentation
bin10100101111101…
…001011111100000
3220020220000022200
4110233221133200
51203044110130
654311333200
711424151263
oct2457513740
9806800280
10348035040
11169502971
1298681200
13571489c2
1434318cda
152084b760
hex14be97e0

348035040 has 72 divisors (see below), whose sum is σ = 1187674488. Its totient is φ = 92808960.

The previous prime is 348035021. The next prime is 348035059. The reversal of 348035040 is 40530843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348035021) and next prime (348035059).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3480350402 = 242256778135603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348034995 and 348035013.

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, 119406 + ... + 122285.

It is an arithmetic number, because the mean of its divisors is an integer number (16495479).

Almost surely, 2348035040 is an apocalyptic number.

348035040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348035040 is an abundant number, since it is smaller than the sum of its proper divisors (839639448).

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

348035040 is a wasteful number, since it uses less digits than its factorization.

348035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241712 (or 241701 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 348035040 is about 18655.6972531181. The cubic root of 348035040 is about 703.4085726707.

Adding to 348035040 its reverse (40530843), we get a palindrome (388565883).

The spelling of 348035040 in words is "three hundred forty-eight million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 241691 483382 725073 966764 1208455 1450146 1933528 2175219 2416910 2900292 3625365 3867056 4350438 4833820 5800584 7250730 7734112 8700876 9667640 10876095 11601168 14501460 17401752 19335280 21752190 23202336 29002920 34803504 38670560 43504380 58005840 69607008 87008760 116011680 174017520 348035040