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3450256740 = 22325719167863
BaseRepresentation
bin1100110110100110…
…1011110101100100
322220110021012110200
43031221223311210
524031231203430
61330210550500
7151333461360
oct31551536544
98813235420
103450256740
111510641a57
12803598430
1342ca71048
1424a3302a0
15152d83460
hexcda6bd64

3450256740 has 288 divisors, whose sum is σ = 12680478720. Its totient is φ = 741788928.

The previous prime is 3450256717. The next prime is 3450256751. The reversal of 3450256740 is 476520543.

3450256740 is a `hidden beast` number, since 3 + 4 + 50 + 2 + 567 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3450256695 and 3450256704.

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, 3997549 + ... + 3998411.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 23450256740 is an apocalyptic number.

3450256740 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 3450256740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3450256740 is an abundant number, since it is smaller than the sum of its proper divisors (9230221980).

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

3450256740 is a wasteful number, since it uses less digits than its factorization.

3450256740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3450256740 is about 58738.8860977121. The cubic root of 3450256740 is about 1511.0672892465.

The spelling of 3450256740 in words is "three billion, four hundred fifty million, two hundred fifty-six thousand, seven hundred forty".