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534134300 = 225272611787
BaseRepresentation
bin11111110101100…
…011111000011100
31101020001211111212
4133311203320130
52043214244200
6125000203552
716144031600
oct3765437034
91336054455
10534134300
11254561007
1212aa695b8
1386876acb
1450d1d500
1531d5c035
hex1fd63e1c

534134300 has 108 divisors (see below), whose sum is σ = 1371177864. Its totient is φ = 180028800.

The previous prime is 534134297. The next prime is 534134317. The reversal of 534134300 is 3431435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298007 + ... + 299793.

Almost surely, 2534134300 is an apocalyptic number.

534134300 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 534134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685588932).

534134300 is an abundant number, since it is smaller than the sum of its proper divisors (837043564).

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

534134300 is a wasteful number, since it uses less digits than its factorization.

534134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 534134300 is about 23111.3456985957. The cubic root of 534134300 is about 811.3660331037.

Adding to 534134300 its reverse (3431435), we get a palindrome (537565735).

The spelling of 534134300 in words is "five hundred thirty-four million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 61 70 98 100 122 140 175 196 244 245 305 350 427 490 610 700 854 980 1220 1225 1525 1708 1787 2135 2450 2989 3050 3574 4270 4900 5978 6100 7148 8540 8935 10675 11956 12509 14945 17870 21350 25018 29890 35740 42700 44675 50036 59780 62545 74725 87563 89350 109007 125090 149450 175126 178700 218014 250180 298900 312725 350252 436028 437815 545035 625450 763049 875630 1090070 1250900 1526098 1751260 2180140 2189075 2725175 3052196 3815245 4378150 5341343 5450350 7630490 8756300 10682686 10900700 15260980 19076225 21365372 26706715 38152450 53413430 76304900 106826860 133533575 267067150 534134300