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534134400 = 2735255639
BaseRepresentation
bin11111110101100…
…011111010000000
31101020001211122120
4133311203322000
52043214300100
6125000204240
716144032102
oct3765437200
91336054576
10534134400
11254561098
1212aa69680
1386876b77
1450d1d572
1531d5c0a0
hex1fd63e80

534134400 has 96 divisors (see below), whose sum is σ = 1759336800. Its totient is φ = 142433280.

The previous prime is 534134399. The next prime is 534134437. The reversal of 534134400 is 4431435.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 18220 + ... + 37419.

It is an arithmetic number, because the mean of its divisors is an integer number (18326425).

Almost surely, 2534134400 is an apocalyptic number.

534134400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534134400 is an abundant number, since it is smaller than the sum of its proper divisors (1225202400).

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

534134400 is a wasteful number, since it uses less digits than its factorization.

534134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55666 (or 55649 counting only the distinct ones).

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

The square root of 534134400 is about 23111.3478620352. The cubic root of 534134400 is about 811.3660837381.

Adding to 534134400 its reverse (4431435), we get a palindrome (538565835).

The spelling of 534134400 in words is "five hundred thirty-four million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 55639 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 7121792 8345850 8902240 10682688 11127800 13353360 16691700 17804480 21365376 22255600 26706720 33383400 35608960 44511200 53413440 66766800 89022400 106826880 133533600 178044800 267067200 534134400