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534613440 = 26353731493
BaseRepresentation
bin11111110111011…
…000110111000000
31101020222011202210
4133313120313000
52043330112230
6125014342120
716151065524
oct3767306700
91336864683
10534613440
11254858a99
1212b05a940
13869b3c1a
1451005d84
1531e03eb0
hex1fdd8dc0

534613440 has 112 divisors (see below), whose sum is σ = 1703088288. Its totient is φ = 142086144.

The previous prime is 534613439. The next prime is 534613441. The reversal of 534613440 is 44316435.

It is an interprime number because it is at equal distance from previous prime (534613439) and next prime (534613441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 534613398 and 534613407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357334 + ... + 358826.

Almost surely, 2534613440 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 534613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851544144).

534613440 is an abundant number, since it is smaller than the sum of its proper divisors (1168474848).

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

534613440 is a wasteful number, since it uses less digits than its factorization.

534613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 534613440 is about 23121.7092793764. The cubic root of 534613440 is about 811.6085699433.

Adding to 534613440 its reverse (44316435), we get a palindrome (578929875).

The spelling of 534613440 in words is "five hundred thirty-four million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 373 480 746 960 1119 1492 1493 1865 2238 2984 2986 3730 4476 4479 5595 5968 5972 7460 7465 8952 8958 11190 11936 11944 14920 14930 17904 17916 22380 22395 23872 23888 29840 29860 35808 35832 44760 44790 47776 59680 59720 71616 71664 89520 89580 95552 119360 119440 143328 179040 179160 238880 286656 358080 358320 477760 556889 716640 1113778 1433280 1670667 2227556 2784445 3341334 4455112 5568890 6682668 8353335 8910224 11137780 13365336 16706670 17820448 22275560 26730672 33413340 35640896 44551120 53461344 66826680 89102240 106922688 133653360 178204480 267306720 534613440