Search a number
-
+
2424402344 = 2371321132267
BaseRepresentation
bin1001000010000001…
…0111000110101000
320020221221101210102
42100200113012220
514431121333334
61040323204532
7114036036260
oct22040270650
96227841712
102424402344
11103456a401
12577b16748
132c8380b00
1418ddb27a0
15e2c9667e
hex908171a8

2424402344 has 96 divisors (see below), whose sum is σ = 5677801920. Its totient is φ = 950197248.

The previous prime is 2424402341. The next prime is 2424402347. The reversal of 2424402344 is 4432044242.

It is an interprime number because it is at equal distance from previous prime (2424402341) and next prime (2424402347).

It is not an unprimeable number, because it can be changed into a prime (2424402341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068299 + ... + 1070565.

It is an arithmetic number, because the mean of its divisors is an integer number (59143770).

Almost surely, 22424402344 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 2424402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838900960).

2424402344 is an abundant number, since it is smaller than the sum of its proper divisors (3253399576).

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

2424402344 is a wasteful number, since it uses less digits than its factorization.

2424402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

The square root of 2424402344 is about 49238.2203577668. The cubic root of 2424402344 is about 1343.3883108497.

Adding to 2424402344 its reverse (4432044242), we get a palindrome (6856446586).

The spelling of 2424402344 in words is "two billion, four hundred twenty-four million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 113 169 182 226 338 364 452 676 728 791 904 1183 1352 1469 1582 2267 2366 2938 3164 4534 4732 5876 6328 9068 9464 10283 11752 15869 18136 19097 20566 29471 31738 38194 41132 58942 63476 76388 82264 117884 126952 133679 152776 206297 235768 256171 267358 383123 412594 512342 534716 766246 825188 1024684 1069432 1532492 1650376 1793197 2049368 2681861 3064984 3330223 3586394 5363722 6660446 7172788 10727444 13320892 14345576 21454888 23311561 26641784 43292899 46623122 86585798 93246244 173171596 186492488 303050293 346343192 606100586 1212201172 2424402344