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345421852272 = 24357192292917
BaseRepresentation
bin1010000011011001011…
…11110010111001110000
31020000121001011012100000
411001230233302321300
521124410443233042
6422403513030000
733645606204540
oct5015457627160
91200531135300
10345421852272
111235466a3192
1256b410b5300
132675b262883
1412a0b823320
158eba17a74c
hex506cbf2e70

345421852272 has 480 divisors, whose sum is σ = 1211703001600. Its totient is φ = 93057444864.

The previous prime is 345421852247. The next prime is 345421852301. The reversal of 345421852272 is 272258124543.

345421852272 is a `hidden beast` number, since 3 + 4 + 5 + 42 + 18 + 522 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118415358 + ... + 118418274.

Almost surely, 2345421852272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345421852272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605851500800).

345421852272 is an abundant number, since it is smaller than the sum of its proper divisors (866281149328).

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

345421852272 is a wasteful number, since it uses less digits than its factorization.

345421852272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3177 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 345421852272 in words is "three hundred forty-five billion, four hundred twenty-one million, eight hundred fifty-two thousand, two hundred seventy-two".