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345475743400 = 23521727378717
BaseRepresentation
bin1010000011011111111…
…01010111111010101000
31020000201210120011001201
411001233331113322220
521130013242242100
6422413120053544
733650132236534
oct5015775277250
91200653504051
10345475743400
11123574061407
1256b571642b4
1326769481108
1412a14a50bc4
158ebec7336a
hex506ff57ea8

345475743400 has 24 divisors (see below), whose sum is σ = 803231103870. Its totient is φ = 138190297280.

The previous prime is 345475743337. The next prime is 345475743407. The reversal of 345475743400 is 4347574543.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 139811679396 + 205664064004 = 373914^2 + 453502^2 .

It is not an unprimeable number, because it can be changed into a prime (345475743407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 863689159 + ... + 863689558.

Almost surely, 2345475743400 is an apocalyptic number.

It is an amenable number.

345475743400 is an abundant number, since it is smaller than the sum of its proper divisors (457755360470).

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

345475743400 is a wasteful number, since it uses less digits than its factorization.

345475743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727378733 (or 1727378724 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 46.

The spelling of 345475743400 in words is "three hundred forty-five billion, four hundred seventy-five million, seven hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1727378717 3454757434 6909514868 8636893585 13819029736 17273787170 34547574340 43184467925 69095148680 86368935850 172737871700 345475743400