Search a number
-
+
1706690304 = 28331122447
BaseRepresentation
bin110010110111010…
…0000011100000000
311101221102211222000
41211232200130000
511443403042204
6441204144000
760202425324
oct14556403400
94357384860
101706690304
117a6422760
123b7698000
1321277c827
14122947984
159ec76039
hex65ba0700

1706690304 has 144 divisors (see below), whose sum is σ = 5506045440. Its totient is φ = 517155840.

The previous prime is 1706690177. The next prime is 1706690317. The reversal of 1706690304 is 4030966071.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×17066903042 = 5825583587535224832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64809 + ... + 87255.

Almost surely, 21706690304 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 1706690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753022720).

1706690304 is an abundant number, since it is smaller than the sum of its proper divisors (3799355136).

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

1706690304 is a wasteful number, since it uses less digits than its factorization.

1706690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22483 (or 22463 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1706690304 is about 41312.1084429251. The cubic root of 1706690304 is about 1195.0467828303.

The spelling of 1706690304 in words is "one billion, seven hundred six million, six hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 22447 25344 38016 44894 67341 76032 89788 134682 179576 202023 246917 269364 359152 404046 493834 538728 606069 718304 740751 808092 987668 1077456 1212138 1436608 1481502 1616184 1975336 2154912 2222253 2424276 2873216 2963004 3232368 3950672 4309824 4444506 4848552 5746432 5926008 6464736 6666759 7901344 8619648 8889012 9697104 11852016 12929472 13333518 15802688 17239296 17778024 19394208 23704032 25858944 26667036 31605376 35556048 38788416 47408064 51717888 53334072 63210752 71112096 77576832 94816128 106668144 142224192 155153664 189632256 213336288 284448384 426672576 568896768 853345152 1706690304