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5341344000 = 2835355639
BaseRepresentation
bin1001111100101111…
…00111000100000000
3111210020200101111120
410332113213010000
541414341002000
62242003312240
7246235450326
oct47627470400
914706611446
105341344000
1122a105a893
12105097b680
136717a3ba5
14389557d16
15213dd06a0
hex13e5e7100

5341344000 has 144 divisors (see below), whose sum is σ = 17741592960. Its totient is φ = 1424332800.

The previous prime is 5341343977. The next prime is 5341344083. The reversal of 5341344000 is 4431435.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 68181 + ... + 123819.

Almost surely, 25341344000 is an apocalyptic number.

5341344000 is a gapful number since it is divisible by the number (50) 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 5341344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870796480).

5341344000 is an abundant number, since it is smaller than the sum of its proper divisors (12400248960).

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

5341344000 is an equidigital number, since it uses as much as digits as its factorization.

5341344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55673 (or 55649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5341344000 is about 73084.4990404942. The cubic root of 5341344000 is about 1748.0352371206.

Adding to 5341344000 its reverse (4431435), we get a palindrome (5345775435).

The spelling of 5341344000 in words is "five billion, three hundred forty-one million, three hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 55639 96000 111278 166917 222556 278195 333834 445112 556390 667668 834585 890224 1112780 1335336 1390975 1669170 1780448 2225560 2670672 2781950 3338340 3560896 4172925 4451120 5341344 5563900 6676680 6954875 7121792 8345850 8902240 10682688 11127800 13353360 13909750 14243584 16691700 17804480 20864625 21365376 22255600 26706720 27819500 33383400 35608960 41729250 42730752 44511200 53413440 55639000 66766800 71217920 83458500 89022400 106826880 111278000 133533600 166917000 178044800 213653760 222556000 267067200 333834000 356089600 445112000 534134400 667668000 890224000 1068268800 1335336000 1780448000 2670672000 5341344000