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3981408270 = 235724362987
BaseRepresentation
bin1110110101001111…
…0111100000001110
3101021110201111101120
43231103313200032
531123220031040
61455023221410
7200443261200
oct35523674016
911243644346
103981408270
111763445a64
12931447866
134b5b122a8
1429aab4770
151848017d0
hexed4f780e

3981408270 has 96 divisors (see below), whose sum is σ = 11374121088. Its totient is φ = 888858432.

The previous prime is 3981408251. The next prime is 3981408293. The reversal of 3981408270 is 728041893.

It is a super-2 number, since 2×39814082702 = 31703223624848785800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31717 + ... + 94703.

It is an arithmetic number, because the mean of its divisors is an integer number (118480428).

Almost surely, 23981408270 is an apocalyptic number.

3981408270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981408270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687060544).

3981408270 is an abundant number, since it is smaller than the sum of its proper divisors (7392712818).

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

3981408270 is a wasteful number, since it uses less digits than its factorization.

3981408270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63054 (or 63047 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3981408270 is about 63098.4014852991. The cubic root of 3981408270 is about 1584.9378541115.

The spelling of 3981408270 in words is "three billion, nine hundred eighty-one million, four hundred eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 49 70 86 98 105 129 147 210 215 245 258 294 301 430 490 602 645 735 903 1290 1470 1505 1806 2107 3010 4214 4515 6321 9030 10535 12642 21070 31605 62987 63210 125974 188961 314935 377922 440909 629870 881818 944805 1322727 1889610 2204545 2645454 2708441 3086363 4409090 5416882 6172726 6613635 8125323 9259089 13227270 13542205 15431815 16250646 18518178 18959087 27084410 30863630 37918174 40626615 46295445 56877261 81253230 92590890 94795435 113754522 132713609 189590870 265427218 284386305 398140827 568772610 663568045 796281654 1327136090 1990704135 3981408270