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30945971 = 723261137
BaseRepresentation
bin111011000001…
…1001010110011
32011020012220002
41312003022303
530410232341
63023140215
7524015330
oct166031263
964205802
1030945971
1116517191
12a44466b
136546734
144177987
152ab429b
hex1d832b3

30945971 has 24 divisors (see below), whose sum is σ = 37851744. Its totient is φ = 24773760.

The previous prime is 30945961. The next prime is 30945973. The reversal of 30945971 is 17954903.

30945971 = T2970 + T2971 + ... + T2976.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-30945971 is a prime.

It is a super-2 number, since 2×309459712 = 1915306242265682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30945973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225815 + ... + 225951.

It is an arithmetic number, because the mean of its divisors is an integer number (1577156).

Almost surely, 230945971 is an apocalyptic number.

30945971 is a deficient number, since it is larger than the sum of its proper divisors (6905773).

30945971 is a wasteful number, since it uses less digits than its factorization.

30945971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 30945971 is about 5562.9102994745. The cubic root of 30945971 is about 313.9554584067.

The spelling of 30945971 in words is "thirty million, nine hundred forty-five thousand, nine hundred seventy-one".

Divisors: 1 7 23 61 137 161 427 529 959 1403 3151 3703 8357 9821 22057 32269 58499 72473 192211 225883 507311 1345477 4420853 30945971