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534691352340 = 2233531105130391
BaseRepresentation
bin1111100011111100001…
…01101000111100010100
31220010010120010000012000
413301332011220330110
532230021441233330
61045344523155300
753426102335305
oct7617605507424
91803116100160
10534691352340
11196841368a22
1287763075b30
133b5624367b2
141bc447487ac
15dd96547560
hex7c7e168f14

534691352340 has 192 divisors, whose sum is σ = 1718835363840. Its totient is φ = 137849040000.

The previous prime is 534691352339. The next prime is 534691352417. The reversal of 534691352340 is 43253196435.

534691352340 is a `hidden beast` number, since 5 + 34 + 6 + 91 + 3 + 523 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17578545 + ... + 17608935.

It is an arithmetic number, because the mean of its divisors is an integer number (8952267520).

Almost surely, 2534691352340 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 534691352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859417681920).

534691352340 is an abundant number, since it is smaller than the sum of its proper divisors (1184144011500).

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

534691352340 is a wasteful number, since it uses less digits than its factorization.

534691352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31491 (or 31483 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 534691352340 in words is "five hundred thirty-four billion, six hundred ninety-one million, three hundred fifty-two thousand, three hundred forty".