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34011411424 = 253134285697
BaseRepresentation
bin11111101011001111…
…001111001111100000
310020210022110201100121
4133223033033033200
51024123410131144
623342530330024
72312556140614
oct375317171740
9106708421317
1034011411424
1113473611891
126712429914
133290480923
1419090cd344
15d40da5384
hex7eb3cf3e0

34011411424 has 24 divisors (see below), whose sum is σ = 69119967168. Its totient is φ = 16457134080.

The previous prime is 34011411389. The next prime is 34011411431. The reversal of 34011411424 is 42411411043.

It is a super-2 number, since 2×340114114242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17141857 + ... + 17143840.

It is an arithmetic number, because the mean of its divisors is an integer number (2879998632).

Almost surely, 234011411424 is an apocalyptic number.

It is an amenable number.

34011411424 is an abundant number, since it is smaller than the sum of its proper divisors (35108555744).

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

34011411424 is a wasteful number, since it uses less digits than its factorization.

34011411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34285738 (or 34285730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 34011411424 its reverse (42411411043), we get a palindrome (76422822467).

The spelling of 34011411424 in words is "thirty-four billion, eleven million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 34285697 68571394 137142788 274285576 548571152 1062856607 1097142304 2125713214 4251426428 8502852856 17005705712 34011411424