Search a number
-
+
34468687248 = 24323107291791
BaseRepresentation
bin100000000110011111…
…100110110110010000
310021222011220201212020
4200012133212312100
51031042440442443
623500143331440
72330111002362
oct400637466620
9107864821766
1034468687248
1113688747996
12681b5b0b80
133334127238
14194db22d32
15d6b0ce583
hex8067e6d90

34468687248 has 80 divisors (see below), whose sum is σ = 93784283136. Its totient is φ = 10887268480.

The previous prime is 34468687241. The next prime is 34468687259. The reversal of 34468687248 is 84278686443.

It is a junction number, because it is equal to n+sod(n) for n = 34468687191 and 34468687200.

It is not an unprimeable number, because it can be changed into a prime (34468687241) 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, 27768 + ... + 264023.

Almost surely, 234468687248 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 34468687248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46892141568).

34468687248 is an abundant number, since it is smaller than the sum of its proper divisors (59315595888).

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

34468687248 is a wasteful number, since it uses less digits than its factorization.

34468687248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291932 (or 291926 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 34468687248 in words is "thirty-four billion, four hundred sixty-eight million, six hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 214 276 321 368 428 552 642 856 1104 1284 1712 2461 2568 4922 5136 7383 9844 14766 19688 29532 39376 59064 118128 291791 583582 875373 1167164 1750746 2334328 3501492 4668656 6711193 7002984 13422386 14005968 20133579 26844772 31221637 40267158 53689544 62443274 80534316 93664911 107379088 124886548 161068632 187329822 249773096 322137264 374659644 499546192 718097651 749319288 1436195302 1498638576 2154292953 2872390604 4308585906 5744781208 8617171812 11489562416 17234343624 34468687248