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5304354000 = 243531180369
BaseRepresentation
bin1001111000010101…
…00000010011010000
3111200200002002202120
410330022200103100
541330403312000
62234202414240
7245306156631
oct47412402320
914620062676
105304354000
112282195740
121040501380
13666c2240a
14384689888
15210a256a0
hex13c2a04d0

5304354000 has 160 divisors (see below), whose sum is σ = 18656127360. Its totient is φ = 1285888000.

The previous prime is 5304353947. The next prime is 5304354007. The reversal of 5304354000 is 4534035.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304354007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25816 + ... + 106184.

It is an arithmetic number, because the mean of its divisors is an integer number (116600796).

Almost surely, 25304354000 is an apocalyptic number.

5304354000 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 5304354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328063680).

5304354000 is an abundant number, since it is smaller than the sum of its proper divisors (13351773360).

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

5304354000 is a wasteful number, since it uses less digits than its factorization.

5304354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80406 (or 80390 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5304354000 is about 72830.9961486179. The cubic root of 5304354000 is about 1743.9907081541.

Adding to 5304354000 its reverse (4534035), we get a palindrome (5308888035).

It can be divided in two parts, 530435 and 4000, that added together give a palindrome (534435).

The spelling of 5304354000 in words is "five billion, three hundred four million, three hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 80369 160738 241107 321476 401845 482214 642952 803690 884059 964428 1205535 1285904 1607380 1768118 1928856 2009225 2411070 2652177 3214760 3536236 3857712 4018450 4420295 4822140 5304354 6027675 6429520 7072472 8036900 8840590 9644280 10046125 10608708 12055350 13260885 14144944 16073800 17681180 19288560 20092250 21217416 22101475 24110700 26521770 30138375 32147600 35362360 40184500 42434832 44202950 48221400 53043540 60276750 66304425 70724720 80369000 88405900 96442800 106087080 110507375 120553500 132608850 160738000 176811800 212174160 221014750 241107000 265217700 331522125 353623600 442029500 482214000 530435400 663044250 884059000 1060870800 1326088500 1768118000 2652177000 5304354000