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34723032848 = 2471775724091
BaseRepresentation
bin100000010101101001…
…110110111100010000
310022121220111211102122
4200111221312330100
51032103044022343
623541311033412
72336316623630
oct402551667420
9108556454378
1034723032848
11137a9279569
12689080b868
133374a2b8aa
1419758106c0
15d835c1068
hex815a76f10

34723032848 has 80 divisors (see below), whose sum is σ = 81520389504. Its totient is φ = 13986846720.

The previous prime is 34723032809. The next prime is 34723032853. The reversal of 34723032848 is 84823032743.

It is a super-2 number, since 2×347230328482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34723032799 and 34723032808.

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, 1429283 + ... + 1453373.

Almost surely, 234723032848 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 34723032848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40760194752).

34723032848 is an abundant number, since it is smaller than the sum of its proper divisors (46797356656).

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

34723032848 is a wasteful number, since it uses less digits than its factorization.

34723032848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24880 (or 24874 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 34723032848 in words is "thirty-four billion, seven hundred twenty-three million, thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 757 952 1514 1904 3028 5299 6056 10598 12112 12869 21196 24091 25738 42392 48182 51476 84784 90083 96364 102952 168637 180166 192728 205904 337274 360332 385456 409547 674548 720664 819094 1349096 1441328 1638188 2698192 2866829 3276376 5733658 6552752 11467316 18236887 22934632 36473774 45869264 72947548 127658209 145895096 255316418 291790192 310027079 510632836 620054158 1021265672 1240108316 2042531344 2170189553 2480216632 4340379106 4960433264 8680758212 17361516424 34723032848