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348023610660 = 22351119533971319
BaseRepresentation
bin1010001000001111101…
…00101101110100100100
31020021022100211012212210
411010013310231310210
521200223021020120
6423514013443420
734100230611135
oct5040764556444
91207270735783
10348023610660
11124661289830
12575484a0570
1326a8429cc8b
1412bb71a1c8c
1590bd7a6ce0
hex5107d2dd24

348023610660 has 384 divisors, whose sum is σ = 1143855820800. Its totient is φ = 78163937280.

The previous prime is 348023610653. The next prime is 348023610677. The reversal of 348023610660 is 66016320843.

It is a super-2 number, since 2×3480236106602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263853481 + ... + 263854799.

It is an arithmetic number, because the mean of its divisors is an integer number (2978791200).

Almost surely, 2348023610660 is an apocalyptic number.

348023610660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348023610660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571927910400).

348023610660 is an abundant number, since it is smaller than the sum of its proper divisors (795832210140).

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

348023610660 is a wasteful number, since it uses less digits than its factorization.

348023610660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 348023610660 in words is "three hundred forty-eight billion, twenty-three million, six hundred ten thousand, six hundred sixty".