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3496718064 = 243777313463
BaseRepresentation
bin1101000001101011…
…1010111011110000
3100000200200200102110
43100122322323300
524130124434224
61334550445320
7152436420210
oct32032727360
910020620373
103496718064
111534896044
12817063840
1343958a858
14252586240
15156eae929
hexd06baef0

3496718064 has 80 divisors (see below), whose sum is σ = 10337766912. Its totient is φ = 997695744.

The previous prime is 3496718059. The next prime is 3496718077. The reversal of 3496718064 is 4608176943.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252997 + ... + 266459.

Almost surely, 23496718064 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 3496718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168883456).

3496718064 is an abundant number, since it is smaller than the sum of its proper divisors (6841048848).

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

3496718064 is a wasteful number, since it uses less digits than its factorization.

3496718064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3496718064 is about 59133.0539038870. The cubic root of 3496718064 is about 1517.8197713055.

The spelling of 3496718064 in words is "three billion, four hundred ninety-six million, seven hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 773 1546 2319 3092 4638 5411 6184 9276 10822 12368 13463 16233 18552 21644 26926 32466 37104 40389 43288 53852 64932 80778 86576 94241 107704 129864 161556 188482 215408 259728 282723 323112 376964 565446 646224 753928 1130892 1507856 2261784 4523568 10406899 20813798 31220697 41627596 62441394 72848293 83255192 124882788 145696586 166510384 218544879 249765576 291393172 437089758 499531152 582786344 874179516 1165572688 1748359032 3496718064