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3450728064 = 27371283753
BaseRepresentation
bin1100110110101101…
…1110111010000000
322220111011011000010
43031223132322000
524031341244224
61330225024520
7151340463450
oct31553367200
98814134003
103450728064
111510934083
12803785140
1342cba7734
1424a413d60
15152e27e29
hexcdadee80

3450728064 has 64 divisors (see below), whose sum is σ = 10475432640. Its totient is φ = 985921536.

The previous prime is 3450728063. The next prime is 3450728123. The reversal of 3450728064 is 4608270543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3450728063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639189 + ... + 644564.

It is an arithmetic number, because the mean of its divisors is an integer number (163678635).

Almost surely, 23450728064 is an apocalyptic number.

It is an amenable number.

3450728064 is an abundant number, since it is smaller than the sum of its proper divisors (7024704576).

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

3450728064 is a wasteful number, since it uses less digits than its factorization.

3450728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283777 (or 1283765 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3450728064 is about 58742.8979877568. The cubic root of 3450728064 is about 1511.1360928076.

The spelling of 3450728064 in words is "three billion, four hundred fifty million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1283753 2567506 3851259 5135012 7702518 8986271 10270024 15405036 17972542 20540048 26958813 30810072 35945084 41080096 53917626 61620144 71890168 82160192 107835252 123240288 143780336 164320384 215670504 246480576 287560672 431341008 492961152 575121344 862682016 1150242688 1725364032 3450728064