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34443641848 = 2371185365551
BaseRepresentation
bin100000000101000000…
…000100001111111000
310021220102210022000211
4200011000010033320
51031020033014343
623453450440504
72326355060620
oct400500041770
9107812708024
1034443641848
11136755a0a10
126813133134
13332bb98485
14194a683880
15d68cd379d
hex8050043f8

34443641848 has 64 divisors (see below), whose sum is σ = 80613227520. Its totient is φ = 13403664000.

The previous prime is 34443641833. The next prime is 34443641849. The reversal of 34443641848 is 84814634443.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34443641849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492673 + ... + 558223.

It is an arithmetic number, because the mean of its divisors is an integer number (1259581680).

Almost surely, 234443641848 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 34443641848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40306613760).

34443641848 is an abundant number, since it is smaller than the sum of its proper divisors (46169585672).

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

34443641848 is a wasteful number, since it uses less digits than its factorization.

34443641848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66428 (or 66424 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 49.

The spelling of 34443641848 in words is "thirty-four billion, four hundred forty-three million, six hundred forty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 853 1706 3412 5971 6824 9383 11942 18766 23884 37532 47768 65551 65681 75064 131102 131362 262204 262724 458857 524408 525448 721061 917714 1442122 1835428 2884244 3670856 5047427 5768488 10094854 20189708 40379416 55915003 111830006 223660012 391405021 447320024 615065033 782810042 1230130066 1565620084 2460260132 3131240168 4305455231 4920520264 8610910462 17221820924 34443641848