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4342768608 = 25361741593
BaseRepresentation
bin1000000101101100…
…10110001111100000
3102012122200111120210
410002312112033200
532343222043413
61554532334120
7212421631653
oct40266261740
912178614523
104342768608
11192941a372
12a12474340
13542945289
142d2a9b89a
151a63d13c3
hex102d963e0

4342768608 has 48 divisors (see below), whose sum is σ = 11586664656. Its totient is φ = 1423856640.

The previous prime is 4342768603. The next prime is 4342768627. The reversal of 4342768608 is 8068672434.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342768601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364941 + ... + 376652.

It is an arithmetic number, because the mean of its divisors is an integer number (241388847).

Almost surely, 24342768608 is an apocalyptic number.

4342768608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4342768608 is an abundant number, since it is smaller than the sum of its proper divisors (7243896048).

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

4342768608 is a wasteful number, since it uses less digits than its factorization.

4342768608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741667 (or 741659 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 4342768608 is about 65899.6859476584. The cubic root of 4342768608 is about 1631.5068314744.

The spelling of 4342768608 in words is "four billion, three hundred forty-two million, seven hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 741593 1483186 2224779 2966372 4449558 5932744 8899116 11865488 17798232 23730976 35596464 45237173 71192928 90474346 135711519 180948692 271423038 361897384 542846076 723794768 1085692152 1447589536 2171384304 4342768608