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3980431 = 713173183
BaseRepresentation
bin1111001011110010001111
321111020010101
433023302033
52004333211
6221151531
745555520
oct17136217
97436111
103980431
112279614
1213bb5a7
13a949b0
14758847
155395c1
hex3cbc8f

3980431 has 32 divisors (see below), whose sum is σ = 5419008. Its totient is φ = 2833920.

The previous prime is 3980429. The next prime is 3980461. The reversal of 3980431 is 1340893.

3980431 is a nontrivial binomial coefficient, being equal to C(2822, 2).

It is a cyclic number.

It is not a de Polignac number, because 3980431 - 21 = 3980429 is a prime.

It is a super-2 number, since 2×39804312 = 31687661891522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3980431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980401) 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, 47916 + ... + 47998.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 23980431 is an apocalyptic number.

3980431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3980431 is the 2821-st triangular number and also the 1411-st hexagonal number.

3980431 is the 941-st centered nonagonal number.

3980431 is a deficient number, since it is larger than the sum of its proper divisors (1438577).

3980431 is a wasteful number, since it uses less digits than its factorization.

3980431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3980431 is about 1995.1017517911. The cubic root of 3980431 is about 158.4808164744.

The spelling of 3980431 in words is "three million, nine hundred eighty thousand, four hundred thirty-one".

Divisors: 1 7 13 17 31 83 91 119 217 221 403 527 581 1079 1411 1547 2573 2821 3689 6851 7553 9877 18011 18343 33449 43741 47957 128401 234143 306187 568633 3980431