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348042210420 = 223522925330583
BaseRepresentation
bin1010001000010001110…
…11101010110001110100
31020021100122211011221210
411010020323222301310
521200242301213140
6423515520241420
734100544655632
oct5041073526164
91207318734853
10348042210420
11124670833033
1257552770270
1326a880b2c58
1412bb9844352
1590c022cd80
hex5108eeac74

348042210420 has 48 divisors (see below), whose sum is σ = 978773765760. Its totient is φ = 92405963136.

The previous prime is 348042210409. The next prime is 348042210431. The reversal of 348042210420 is 24012240843.

It is an interprime number because it is at equal distance from previous prime (348042210409) and next prime (348042210431).

It is a super-2 number, since 2×3480422104202 (a number of 24 digits) contains 22 as substring.

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

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, 12651552 + ... + 12679031.

It is an arithmetic number, because the mean of its divisors is an integer number (20391120120).

Almost surely, 2348042210420 is an apocalyptic number.

348042210420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348042210420 is an abundant number, since it is smaller than the sum of its proper divisors (630731555340).

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

348042210420 is a wasteful number, since it uses less digits than its factorization.

348042210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25330824 (or 25330822 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 348042210420 in words is "three hundred forty-eight billion, forty-two million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1145 1374 2290 2748 3435 4580 6870 13740 25330583 50661166 75991749 101322332 126652915 151983498 253305830 303966996 379958745 506611660 759917490 1519834980 5800703507 11601407014 17402110521 23202814028 29003517535 34804221042 58007035070 69608442084 87010552605 116014070140 174021105210 348042210420