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423534144 = 26311238719
BaseRepresentation
bin11001001111101…
…001111001000000
31002111221202121210
4121033221321000
51331411043034
6110005450120
713331660265
oct3117517100
91074852553
10423534144
111a808a520
12b9a10940
1369991527
144036d26c
15272b18e9
hex193e9e40

423534144 has 112 divisors (see below), whose sum is σ = 1275770880. Its totient is φ = 122749440.

The previous prime is 423534113. The next prime is 423534151. The reversal of 423534144 is 441435324.

It is a super-2 number, since 2×4235341442 = 358762342267625472, which contains 22 as substring.

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, 44217 + ... + 52935.

Almost surely, 2423534144 is an apocalyptic number.

423534144 is a gapful number since it is divisible by the number (44) 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 423534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637885440).

423534144 is an abundant number, since it is smaller than the sum of its proper divisors (852236736).

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

423534144 is a wasteful number, since it uses less digits than its factorization.

423534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8758 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 423534144 is about 20579.9451894314. The cubic root of 423534144 is about 750.9819103528.

Adding to 423534144 its reverse (441435324), we get a palindrome (864969468).

The spelling of 423534144 in words is "four hundred twenty-three million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 8719 12144 16192 17438 24288 26157 34876 48576 52314 69752 95909 104628 139504 191818 200537 209256 279008 287727 383636 401074 418512 558016 575454 601611 767272 802148 837024 1150908 1203222 1534544 1604296 1674048 2205907 2301816 2406444 3069088 3208592 4411814 4603632 4812888 6138176 6417184 6617721 8823628 9207264 9625776 12834368 13235442 17647256 18414528 19251552 26470884 35294512 38503104 52941768 70589024 105883536 141178048 211767072 423534144