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342501127720 = 235174229119101
BaseRepresentation
bin1001111101111101010…
…10000111011000101000
31012202001111022000110121
410332332222013120220
521102420242041340
6421202015453024
733513332356603
oct4767652073050
91182044260417
10342501127720
11122287a59644
1256466b27174
13263b41169ab
141281197533a
158d98a4594a
hex4fbea87628

342501127720 has 64 divisors (see below), whose sum is σ = 816158365200. Its totient is φ = 128910028800.

The previous prime is 342501127697. The next prime is 342501127723. The reversal of 342501127720 is 27721105243.

It can be written as a sum of positive squares in 8 ways, for example, as 321373342404 + 21127785316 = 566898^2 + 145354^2 .

It is a super-3 number, since 3×3425011277203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (342501127723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816170 + ... + 2935270.

Almost surely, 2342501127720 is an apocalyptic number.

It is an amenable number.

342501127720 is an abundant number, since it is smaller than the sum of its proper divisors (473657237480).

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

342501127720 is a wasteful number, since it uses less digits than its factorization.

342501127720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123358 (or 123354 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 342501127720 in words is "three hundred forty-two billion, five hundred one million, one hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4229 8458 16916 21145 33832 42290 71893 84580 119101 143786 169160 238202 287572 359465 476404 575144 595505 718930 952808 1191010 1437860 2024717 2382020 2875720 4049434 4764040 8098868 10123585 16197736 20247170 40494340 80988680 503678129 1007356258 2014712516 2518390645 4029425032 5036781290 8562528193 10073562580 17125056386 20147125160 34250112772 42812640965 68500225544 85625281930 171250563860 342501127720