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34203023632 = 2423294197649
BaseRepresentation
bin11111110110101010…
…001011100100010000
310021021200000121220001
4133312222023210100
51030021433224012
623413533255344
72320403622031
oct376652134420
9107250017801
1034203023632
1113561795988
126766634554
1332c108c12b
14192672aa88
15d52b04357
hex7f6a8b910

34203023632 has 80 divisors (see below), whose sum is σ = 71714160000. Its totient is φ = 15754145792.

The previous prime is 34203023611. The next prime is 34203023711. The reversal of 34203023632 is 23632030243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34203023632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4467744 + ... + 4475392.

It is an arithmetic number, because the mean of its divisors is an integer number (896427000).

Almost surely, 234203023632 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 34203023632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857080000).

34203023632 is an abundant number, since it is smaller than the sum of its proper divisors (37511136368).

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

34203023632 is a wasteful number, since it uses less digits than its factorization.

34203023632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34203023632 its reverse (23632030243), we get a palindrome (57835053875).

The spelling of 34203023632 in words is "thirty-four billion, two hundred three million, twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 419 464 667 838 1334 1676 2668 3352 5336 6704 7649 9637 10672 12151 15298 19274 24302 30596 38548 48604 61192 77096 97208 122384 154192 175927 194416 221821 279473 351854 443642 558946 703708 887284 1117892 1407416 1774568 2235784 2814832 3204931 3549136 4471568 5101883 6409862 10203766 12819724 20407532 25639448 40815064 51278896 73713413 81630128 92942999 147426826 185885998 294853652 371771996 589707304 743543992 1179414608 1487087984 2137688977 4275377954 8550755908 17101511816 34203023632