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2334324432 = 2431110342923
BaseRepresentation
bin1000101100100010…
…1111011011010000
320000200102222010110
42023020233123100
514240041340212
61023344401320
7111563300406
oct21310573320
96020388113
102334324432
11a98735550
12551916240
132b280257b
14182045476
15d9e01a3c
hex8b22f6d0

2334324432 has 80 divisors (see below), whose sum is σ = 6642574848. Its totient is φ = 700487040.

The previous prime is 2334324409. The next prime is 2334324479. The reversal of 2334324432 is 2344234332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2334324432.

It is a congruent number.

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, 32923 + ... + 75845.

Almost surely, 22334324432 is an apocalyptic number.

2334324432 is a gapful number since it is divisible by the number (22) 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 2334324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321287424).

2334324432 is an abundant number, since it is smaller than the sum of its proper divisors (4308250416).

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

2334324432 is a wasteful number, since it uses less digits than its factorization.

2334324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43048 (or 43042 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The square root of 2334324432 is about 48314.8469106547. The cubic root of 2334324432 is about 1326.5401683494.

Adding to 2334324432 its reverse (2344234332), we get a palindrome (4678558764).

The spelling of 2334324432 in words is "two billion, three hundred thirty-four million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 4532 4944 6798 9064 13596 18128 27192 42923 54384 85846 128769 171692 257538 343384 472153 515076 686768 944306 1030152 1416459 1888612 2060304 2832918 3777224 4421069 5665836 7554448 8842138 11331672 13263207 17684276 22663344 26526414 35368552 48631759 53052828 70737104 97263518 106105656 145895277 194527036 212211312 291790554 389054072 583581108 778108144 1167162216 2334324432