Search a number
-
+
3495339864 = 233419733889
BaseRepresentation
bin1101000001010110…
…1010011101011000
3100000121002122220000
43100111222131120
524124301333424
61334501133000
7152421620142
oct32025523530
910017078800
103495339864
111534034635
128166ba160
134391c7453
14252307c92
15156cdb3c9
hexd056a758

3495339864 has 160 divisors (see below), whose sum is σ = 10449318000. Its totient is φ = 1088391168.

The previous prime is 3495339853. The next prime is 3495339899. The reversal of 3495339864 is 4689335943.

3495339864 is a `hidden beast` number, since 3 + 49 + 533 + 9 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3495339864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 896832 + ... + 900720.

Almost surely, 23495339864 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 3495339864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224659000).

3495339864 is an abundant number, since it is smaller than the sum of its proper divisors (6953978136).

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

3495339864 is a wasteful number, since it uses less digits than its factorization.

3495339864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3986 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3495339864 is about 59121.3993745074. The cubic root of 3495339864 is about 1517.6203334269.

The spelling of 3495339864 in words is "three billion, four hundred ninety-five million, three hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 81 108 114 146 152 162 171 216 219 228 292 324 342 438 456 513 584 648 657 684 876 1026 1314 1368 1387 1539 1752 1971 2052 2628 2774 3078 3889 3942 4104 4161 5256 5548 5913 6156 7778 7884 8322 11096 11667 11826 12312 12483 15556 15768 16644 23334 23652 24966 31112 33288 35001 37449 46668 47304 49932 70002 73891 74898 93336 99864 105003 112347 140004 147782 149796 210006 221673 224694 280008 283897 295564 299592 315009 420012 443346 449388 567794 591128 630018 665019 840024 851691 886692 898776 1135588 1260036 1330038 1703382 1773384 1995057 2271176 2520072 2555073 2660076 3406764 3990114 5110146 5320152 5394043 5985171 6813528 7665219 7980228 10220292 10788086 11970342 15330438 15960456 16182129 20440584 21576172 22995657 23940684 30660876 32364258 43152344 45991314 47881368 48546387 61321752 64728516 91982628 97092774 129457032 145639161 183965256 194185548 291278322 388371096 436917483 582556644 873834966 1165113288 1747669932 3495339864