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534508240 = 24571376967
BaseRepresentation
bin11111110110111…
…111001011010000
31101020202211110111
4133312333023100
52043313230430
6125012211104
716150150030
oct3766771320
91336684414
10534508240
11254796a52
1212b009a94
1386978086
1450db98c0
1531dd2c2a
hex1fdbf2d0

534508240 has 80 divisors (see below), whose sum is σ = 1430836992. Its totient is φ = 181896192.

The previous prime is 534508217. The next prime is 534508241. The reversal of 534508240 is 42805435.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534508241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73237 + ... + 80203.

Almost surely, 2534508240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715418496).

534508240 is an abundant number, since it is smaller than the sum of its proper divisors (896328752).

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

534508240 is a wasteful number, since it uses less digits than its factorization.

534508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 534508240 is about 23119.4342491333. The cubic root of 534508240 is about 811.5553309635. Note that the first 3 decimals are identical.

The spelling of 534508240 in words is "five hundred thirty-four million, five hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1918 2192 2740 3836 4795 5480 6967 7672 9590 10960 13934 15344 19180 27868 34835 38360 48769 55736 69670 76720 97538 111472 139340 195076 243845 278680 390152 487690 557360 780304 954479 975380 1908958 1950760 3817916 3901520 4772395 6681353 7635832 9544790 13362706 15271664 19089580 26725412 33406765 38179160 53450824 66813530 76358320 106901648 133627060 267254120 534508240