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34013130432 = 263659268819
BaseRepresentation
bin11111101011010101…
…110010111011000000
310020210102201001101120
4133223111302323000
51024124330133212
623343031232240
72312606560401
oct375325627300
9106712631346
1034013130432
1113474586356
126712b18680
1332909331a8
1419094199a8
15d410e488c
hex7eb572ec0

34013130432 has 56 divisors (see below), whose sum is σ = 90129969600. Its totient is φ = 11320463616.

The previous prime is 34013130397. The next prime is 34013130439. The reversal of 34013130432 is 23403131043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34013130439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7882 + ... + 260937.

Almost surely, 234013130432 is an apocalyptic number.

34013130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34013130432 is an abundant number, since it is smaller than the sum of its proper divisors (56116839168).

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

34013130432 is a wasteful number, since it uses less digits than its factorization.

34013130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269493 (or 269483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34013130432 its reverse (23403131043), we get a palindrome (57416261475).

The spelling of 34013130432 in words is "thirty-four billion, thirteen million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 659 1318 1977 2636 3954 5272 7908 10544 15816 21088 31632 42176 63264 126528 268819 537638 806457 1075276 1612914 2150552 3225828 4301104 6451656 8602208 12903312 17204416 25806624 51613248 177151721 354303442 531455163 708606884 1062910326 1417213768 2125820652 2834427536 4251641304 5668855072 8503282608 11337710144 17006565216 34013130432