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3483990384 = 243715168669
BaseRepresentation
bin1100111110101001…
…0111100101110000
322222210202001022220
43033222113211300
524113400143014
61333414001040
7152223300240
oct31752274560
98883661286
103483990384
1115286925a6
12812946180
13436a52594
142509d1b20
15155ce86a9
hexcfa97970

3483990384 has 80 divisors (see below), whose sum is σ = 10354337280. Its totient is φ = 988819200.

The previous prime is 3483990383. The next prime is 3483990403. The reversal of 3483990384 is 4830993843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483990383) 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, 16402 + ... + 85070.

It is an arithmetic number, because the mean of its divisors is an integer number (129429216).

Almost surely, 23483990384 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 3483990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177168640).

3483990384 is an abundant number, since it is smaller than the sum of its proper divisors (6870346896).

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

3483990384 is a wasteful number, since it uses less digits than its factorization.

3483990384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68838 (or 68832 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 3483990384 is about 59025.3367970061. The cubic root of 3483990384 is about 1515.9759651627.

The spelling of 3483990384 in words is "three billion, four hundred eighty-three million, nine hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 3171 3624 4228 6342 7248 8456 12684 16912 25368 50736 68669 137338 206007 274676 412014 480683 549352 824028 961366 1098704 1442049 1648056 1922732 2884098 3296112 3845464 5768196 7690928 10369019 11536392 20738038 23072784 31107057 41476076 62214114 72583133 82952152 124428228 145166266 165904304 217749399 248856456 290332532 435498798 497712912 580665064 870997596 1161330128 1741995192 3483990384