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34203204224 = 27725453317
BaseRepresentation
bin11111110110101010…
…110111101010000000
310021021200100210121122
4133312222313222000
51030022010013344
623413541211412
72320405303400
oct376652675200
9107250323548
1034203204224
11135618a9632
126766700b68
1332c11233a7
141926776800
15d52b3caee
hex7f6ab7a80

34203204224 has 48 divisors (see below), whose sum is σ = 79263977130. Its totient is φ = 14658513408.

The previous prime is 34203204223. The next prime is 34203204227. The reversal of 34203204224 is 42240230243.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30429313600 + 3773890624 = 174440^2 + 61432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34203204193 and 34203204202.

It is not an unprimeable number, because it can be changed into a prime (34203204223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2720387 + ... + 2732930.

Almost surely, 234203204224 is an apocalyptic number.

It is an amenable number.

34203204224 is an abundant number, since it is smaller than the sum of its proper divisors (45060772906).

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

34203204224 is an equidigital number, since it uses as much as digits as its factorization.

34203204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453345 (or 5453326 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34203204224 its reverse (42240230243), we get a palindrome (76443434467).

The spelling of 34203204224 in words is "thirty-four billion, two hundred three million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 5453317 10906634 21813268 38173219 43626536 76346438 87253072 152692876 174506144 267212533 305385752 349012288 534425066 610771504 698024576 1068850132 1221543008 2137700264 2443086016 4275400528 4886172032 8550801056 17101602112 34203204224