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4834004384 = 251189154303
BaseRepresentation
bin1001000000010000…
…10000110110100000
3110110220000212101102
410200020100312200
534400001120014
62115401253532
7230535234146
oct44010206640
913426025342
104834004384
112060740050
12b2aa942a8
135c064c131
1433c011596
151d45b78de
hex120210da0

4834004384 has 48 divisors (see below), whose sum is σ = 10498844160. Its totient is φ = 2172572160.

The previous prime is 4834004381. The next prime is 4834004387.

4834004384 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4834004381) and next prime (4834004387).

It is not an unprimeable number, because it can be changed into a prime (4834004381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45824 + ... + 108479.

It is an arithmetic number, because the mean of its divisors is an integer number (218725920).

Almost surely, 24834004384 is an apocalyptic number.

4834004384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4834004384 is an abundant number, since it is smaller than the sum of its proper divisors (5664839776).

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

4834004384 is a wasteful number, since it uses less digits than its factorization.

4834004384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154413 (or 154405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 4834004384 is about 69527.0047104001. The cubic root of 4834004384 is about 1690.8393510430.

It can be divided in two parts, 483400 and 4384, that added together give a palindrome (487784).

The spelling of 4834004384 in words is "four billion, eight hundred thirty-four million, four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 31328 154303 308606 617212 1234424 1697333 2468848 3394666 4937696 6789332 13578664 13732967 27157328 27465934 54314656 54931868 109863736 151062637 219727472 302125274 439454944 604250548 1208501096 2417002192 4834004384