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339320128 = 2671395449
BaseRepresentation
bin10100001110011…
…001110101000000
3212122111020201011
4110032121311000
51143331221003
653400450304
711260113340
oct2416316500
9778436634
10339320128
111645a0264
1295779994
13553b7054
14330cad20
151ebc946d
hex14399d40

339320128 has 56 divisors (see below), whose sum is σ = 775208000. Its totient is φ = 144350208.

The previous prime is 339320117. The next prime is 339320131. The reversal of 339320128 is 821023933.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 339320128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59548 + ... + 64996.

It is an arithmetic number, because the mean of its divisors is an integer number (13843000).

Almost surely, 2339320128 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 339320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387604000).

339320128 is an abundant number, since it is smaller than the sum of its proper divisors (435887872).

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

339320128 is a wasteful number, since it uses less digits than its factorization.

339320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 339320128 is about 18420.6440712587. The cubic root of 339320128 is about 697.4876797111.

The spelling of 339320128 in words is "three hundred thirty-nine million, three hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 448 556 973 1112 1946 2224 3892 4448 5449 7784 8896 10898 15568 21796 31136 38143 43592 62272 76286 87184 152572 174368 305144 348736 610288 757411 1220576 1514822 2441152 3029644 5301877 6059288 10603754 12118576 21207508 24237152 42415016 48474304 84830032 169660064 339320128