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2434247424 = 2833750311
BaseRepresentation
bin1001000100010111…
…1010101100000000
320021122110120201000
42101011322230000
514441131404144
61041314212000
7114215522160
oct22105725400
96248416630
102434247424
11103a084134
1257b284000
132ca419cbb
141914165a0
15e3a8d769
hex9117ab00

2434247424 has 144 divisors (see below), whose sum is σ = 8227018240. Its totient is φ = 695485440.

The previous prime is 2434247411. The next prime is 2434247437. The reversal of 2434247424 is 4247424342.

It is an interprime number because it is at equal distance from previous prime (2434247411) and next prime (2434247437).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23229 + ... + 73539.

Almost surely, 22434247424 is an apocalyptic number.

2434247424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113509120).

2434247424 is an abundant number, since it is smaller than the sum of its proper divisors (5792770816).

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

2434247424 is an equidigital number, since it uses as much as digits as its factorization.

2434247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50343 (or 50323 counting only the distinct ones).

The product of its digits is 172032, while the sum is 36.

The square root of 2434247424 is about 49338.0930316525. The cubic root of 2434247424 is about 1345.2042777395.

The spelling of 2434247424 in words is "two billion, four hundred thirty-four million, two hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 50311 100622 150933 201244 301866 352177 402488 452799 603732 704354 804976 905598 1056531 1207464 1358397 1408708 1609952 1811196 2113062 2414928 2716794 2817416 3169593 3219904 3622392 4226124 4829856 5433588 5634832 6339186 6439808 7244784 8452248 9508779 9659712 10867176 11269664 12678372 12879616 14489568 16904496 19017558 19319424 21734352 22539328 25356744 28979136 33808992 38035116 38638848 43468704 45078656 50713488 57958272 67617984 76070232 86937408 90157312 101426976 115916544 135235968 152140464 173874816 202853952 270471936 304280928 347749632 405707904 608561856 811415808 1217123712 2434247424