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534145440 = 25351767977
BaseRepresentation
bin11111110101100…
…110100110100000
31101020002101210110
4133311212212200
52043220123230
6125000331320
716144106223
oct3765464640
91336071713
10534145440
11254569414
1212aa73b40
138687bbba
1450d235ba
1531d604b0
hex1fd669a0

534145440 has 192 divisors, whose sum is σ = 1809972864. Its totient is φ = 131923968.

The previous prime is 534145427. The next prime is 534145483. The reversal of 534145440 is 44541435.

It is a super-2 number, since 2×5341454402 = 570622702145587200, which contains 22 as substring.

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 = 534145398 and 534145407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546232 + ... + 547208.

It is an arithmetic number, because the mean of its divisors is an integer number (9426942).

Almost surely, 2534145440 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 534145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904986432).

534145440 is an abundant number, since it is smaller than the sum of its proper divisors (1275827424).

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

534145440 is a wasteful number, since it uses less digits than its factorization.

534145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 534145440 is about 23111.5867045082. The cubic root of 534145440 is about 811.3716737293.

Adding to 534145440 its reverse (44541435), we get a palindrome (578686875).

The spelling of 534145440 in words is "five hundred thirty-four million, one hundred forty-five thousand, four hundred forty".