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4290438384 = 2432281106031
BaseRepresentation
bin1111111110111010…
…1110010011110000
3102002000012212000100
43333232232103300
532241323012014
61545422552400
7211215060501
oct37756562360
912060185010
104290438384
111901927951
129b8a38700
13534b5234b
142c9b58ba8
151a19e6009
hexffbae4f0

4290438384 has 60 divisors (see below), whose sum is σ = 12050112672. Its totient is φ = 1425043200.

The previous prime is 4290438371. The next prime is 4290438401. The reversal of 4290438384 is 4838340924.

It is a super-3 number, since 3×42904383843 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12552 + ... + 93479.

Almost surely, 24290438384 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 4290438384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025056336).

4290438384 is an abundant number, since it is smaller than the sum of its proper divisors (7759674288).

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

4290438384 is a wasteful number, since it uses less digits than its factorization.

4290438384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106326 (or 106317 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4290438384 is about 65501.4380300158. The cubic root of 4290438384 is about 1624.9271300183.

The spelling of 4290438384 in words is "four billion, two hundred ninety million, four hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 106031 212062 318093 424124 636186 848248 954279 1272372 1696496 1908558 2544744 3817116 5089488 7634232 15268464 29794711 59589422 89384133 119178844 178768266 238357688 268152399 357536532 476715376 536304798 715073064 1072609596 1430146128 2145219192 4290438384