Search a number
-
+
35340230464 = 2671116094457
BaseRepresentation
bin100000111010011100…
…010001111101000000
310101012220212201101121
4200322130101331000
51034334044333324
624122435442024
72360523000610
oct407234217500
9111186781347
1035340230464
1113a95703240
126a23456314
133442869196
1419d3792a40
15dbc8895e4
hex83a711f40

35340230464 has 112 divisors (see below), whose sum is σ = 87506616960. Its totient is φ = 13757276160.

The previous prime is 35340230461. The next prime is 35340230477. The reversal of 35340230464 is 46403204353.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35340230461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7926924 + ... + 7931380.

It is an arithmetic number, because the mean of its divisors is an integer number (781309080).

Almost surely, 235340230464 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 35340230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43753308480).

35340230464 is an abundant number, since it is smaller than the sum of its proper divisors (52166386496).

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

35340230464 is a wasteful number, since it uses less digits than its factorization.

35340230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 35340230464 in words is "thirty-five billion, three hundred forty million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 1609 2464 3218 4457 4928 6436 8914 11263 12872 17699 17828 22526 25744 31199 35398 35656 45052 49027 51488 62398 70796 71312 90104 98054 102976 123893 124796 141592 142624 180208 196108 247786 249592 283184 285248 343189 360416 392216 495572 499184 566368 686378 720832 784432 991144 998368 1132736 1372756 1568864 1982288 1996736 2745512 3137728 3964576 5491024 7171313 7929152 10982048 14342626 21964096 28685252 50199191 57370504 78884443 100398382 114741008 157768886 200796764 229482016 315537772 401593528 458964032 552191101 631075544 803187056 1104382202 1262151088 1606374112 2208764404 2524302176 3212748224 4417528808 5048604352 8835057616 17670115232 35340230464