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3494884848 = 243713261547
BaseRepresentation
bin1101000001001111…
…1011010111110000
3100000120020112201120
43100103323113300
524124142303343
61334443302240
7152415013440
oct32023732760
910016215646
103494884848
111533853794
1281651a980
13439098300
1425222a120
15156c4b683
hexd04fb5f0

3494884848 has 120 divisors (see below), whose sum is σ = 11173177728. Its totient is φ = 921712896.

The previous prime is 3494884843. The next prime is 3494884867. The reversal of 3494884848 is 8484884943.

It is a junction number, because it is equal to n+sod(n) for n = 3494884791 and 3494884800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494884843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26011 + ... + 87557.

Almost surely, 23494884848 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 3494884848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586588864).

3494884848 is an abundant number, since it is smaller than the sum of its proper divisors (7678292880).

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

3494884848 is a wasteful number, since it uses less digits than its factorization.

3494884848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61591 (or 61572 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The square root of 3494884848 is about 59117.5510994831. The cubic root of 3494884848 is about 1517.5544770269.

The spelling of 3494884848 in words is "three billion, four hundred ninety-four million, eight hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784 61547 123094 184641 246188 369282 430829 492376 738564 800111 861658 984752 1292487 1477128 1600222 1723316 2400333 2584974 2954256 3200444 3446632 4800666 5169948 5600777 6400888 6893264 9601332 10339896 10401443 11201554 12801776 16802331 19202664 20679792 20802886 22403108 31204329 33604662 38405328 41605772 44806216 62408658 67209324 72810101 83211544 89612432 124817316 134418648 145620202 166423088 218430303 249634632 268837296 291240404 436860606 499269264 582480808 873721212 1164961616 1747442424 3494884848