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2334023424 = 2834112559
BaseRepresentation
bin1000101100011110…
…0101111100000000
320000122212200020000
42023013211330000
514240002222144
61023334120000
7111560605005
oct21307457400
96018780200
102334023424
11a9854a387
125517b0000
132b2728565
14181da78ac
15d9d92769
hex8b1e5f00

2334023424 has 90 divisors (see below), whose sum is σ = 6959697360. Its totient is φ = 778000896.

The previous prime is 2334023411. The next prime is 2334023491. The reversal of 2334023424 is 4243204332.

2334023424 is a `hidden beast` number, since 233 + 4 + 0 + 2 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35544 + ... + 77015.

Almost surely, 22334023424 is an apocalyptic number.

2334023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2334023424 is an abundant number, since it is smaller than the sum of its proper divisors (4625673936).

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

2334023424 is an equidigital number, since it uses as much as digits as its factorization.

2334023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112587 (or 112564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2334023424 is about 48311.7317429214. The cubic root of 2334023424 is about 1326.4831473741.

Adding to 2334023424 its reverse (4243204332), we get a palindrome (6577227756).

It can be divided in two parts, 23340 and 23424, that added together give a palindrome (46764).

The spelling of 2334023424 in words is "two billion, three hundred thirty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 112559 225118 337677 450236 675354 900472 1013031 1350708 1800944 2026062 2701416 3039093 3601888 4052124 5402832 6078186 7203776 8104248 9117279 10805664 12156372 14407552 16208496 18234558 21611328 24312744 28815104 32416992 36469116 43222656 48625488 64833984 72938232 86445312 97250976 129667968 145876464 194501952 259335936 291752928 389003904 583505856 778007808 1167011712 2334023424