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348023640 = 233510692713
BaseRepresentation
bin10100101111100…
…110101101011000
3220020212102200110
4110233212231120
51203043224030
654311204320
711424103116
oct2457465530
9806772613
10348023640
111694a5348
12986766a0
1357143763
1434314ab6
15208481b0
hex14be6b58

348023640 has 64 divisors (see below), whose sum is σ = 1045432800. Its totient is φ = 92685312.

The previous prime is 348023629. The next prime is 348023651. The reversal of 348023640 is 46320843.

It is an interprime number because it is at equal distance from previous prime (348023629) and next prime (348023651).

It is a super-2 number, since 2×3480236402 = 242240907997699200, which contains 22 as substring.

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 = 348023598 and 348023607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126924 + ... + 129636.

Almost surely, 2348023640 is an apocalyptic number.

348023640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348023640 is an abundant number, since it is smaller than the sum of its proper divisors (697409160).

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

348023640 is a wasteful number, since it uses less digits than its factorization.

348023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 348023640 is about 18655.3917139255. The cubic root of 348023640 is about 703.4008924619.

The spelling of 348023640 in words is "three hundred forty-eight million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1069 2138 2713 3207 4276 5345 5426 6414 8139 8552 10690 10852 12828 13565 16035 16278 21380 21704 25656 27130 32070 32556 40695 42760 54260 64140 65112 81390 108520 128280 162780 325560 2900197 5800394 8700591 11600788 14500985 17401182 23201576 29001970 34802364 43502955 58003940 69604728 87005910 116007880 174011820 348023640