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34050540540 = 2235567509009
BaseRepresentation
bin11111101101100100…
…100000001111111100
310020220001002200102010
4133231210200033330
51024213414244130
623350445131220
72313542550642
oct375544401774
9106801080363
1034050540540
11134937080a5
126723559b10
133298600c53
141910397192
15d445340b0
hex7ed9203fc

34050540540 has 24 divisors (see below), whose sum is σ = 95341513680. Its totient is φ = 9080144128.

The previous prime is 34050540533. The next prime is 34050540569. The reversal of 34050540540 is 4504505043.

It is a super-2 number, since 2×340505405402 (a number of 22 digits) 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 = 34050540498 and 34050540507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283754445 + ... + 283754564.

It is an arithmetic number, because the mean of its divisors is an integer number (3972563070).

Almost surely, 234050540540 is an apocalyptic number.

34050540540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050540540 is an abundant number, since it is smaller than the sum of its proper divisors (61290973140).

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

34050540540 is a wasteful number, since it uses less digits than its factorization.

34050540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567509021 (or 567509019 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 34050540540 in words is "thirty-four billion, fifty million, five hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 567509009 1135018018 1702527027 2270036036 2837545045 3405054054 5675090090 6810108108 8512635135 11350180180 17025270270 34050540540