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3997331280 = 2432522972417
BaseRepresentation
bin1110111001000010…
…0110111101010000
3101022120200110122200
43232100212331100
531141304100110
61500352403200
7201025520025
oct35620467520
911276613580
103997331280
111771431178
12936846500
134b91c8aa7
1429cc5b54c
15185de96c0
hexee426f50

3997331280 has 120 divisors (see below), whose sum is σ = 13435771752. Its totient is φ = 1065050112.

The previous prime is 3997331263. The next prime is 3997331339. The reversal of 3997331280 is 821337993.

3997331280 is a `hidden beast` number, since 39 + 9 + 7 + 331 + 280 = 666.

3997331280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1342196496 + 2655134784 = 36636^2 + 51528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652632 + ... + 1655048.

Almost surely, 23997331280 is an apocalyptic number.

3997331280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717885876).

3997331280 is an abundant number, since it is smaller than the sum of its proper divisors (9438440472).

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

3997331280 is a wasteful number, since it uses less digits than its factorization.

3997331280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3997331280 is about 63224.4515990451. The cubic root of 3997331280 is about 1587.0479460169.

It can be divided in two parts, 39973 and 31280, that added together give a triangular number (71253 = T377).

The spelling of 3997331280 in words is "three billion, nine hundred ninety-seven million, three hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2297 2417 4594 4834 6891 7251 9188 9668 11485 12085 13782 14502 18376 19336 20673 21753 22970 24170 27564 29004 34455 36255 36752 38672 41346 43506 45940 48340 55128 58008 68910 72510 82692 87012 91880 96680 103365 108765 110256 116016 137820 145020 165384 174024 183760 193360 206730 217530 275640 290040 330768 348048 413460 435060 551280 580080 826920 870120 1653840 1740240 5551849 11103698 16655547 22207396 27759245 33311094 44414792 49966641 55518490 66622188 83277735 88829584 99933282 111036980 133244376 166555470 199866564 222073960 249833205 266488752 333110940 399733128 444147920 499666410 666221880 799466256 999332820 1332443760 1998665640 3997331280