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3997244106 = 2332316931901
BaseRepresentation
bin1110111001000001…
…0001101011001010
3101022120112001002000
43232100101223022
531141243302411
61500350451430
7201025004622
oct35620215312
911276461060
103997244106
111771381729
12936803b76
134b91981cb
1429cc37882
15185dcd956
hexee411aca

3997244106 has 64 divisors (see below), whose sum is σ = 9279325440. Its totient is φ = 1273060800.

The previous prime is 3997244093. The next prime is 3997244107. The reversal of 3997244106 is 6014427993.

It is a happy number.

3997244106 is a `hidden beast` number, since 399 + 7 + 244 + 10 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3997244107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101756 + ... + 2103656.

It is an arithmetic number, because the mean of its divisors is an integer number (144989460).

Almost surely, 23997244106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997244106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639662720).

3997244106 is an abundant number, since it is smaller than the sum of its proper divisors (5282081334).

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

3997244106 is a wasteful number, since it uses less digits than its factorization.

3997244106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3997244106 is about 63223.7621942889. The cubic root of 3997244106 is about 1587.0364091261.

The spelling of 3997244106 in words is "three billion, nine hundred ninety-seven million, two hundred forty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1693 1901 3386 3802 5079 5703 10158 11406 15237 17109 30474 34218 38939 43723 45711 51327 77878 87446 91422 102654 116817 131169 233634 262338 350451 393507 700902 787014 1051353 1180521 2102706 2361042 3218393 6436786 9655179 19310358 28965537 57931074 74023039 86896611 148046078 173793222 222069117 444138234 666207351 1332414702 1998622053 3997244106