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37293030 = 2325414367
BaseRepresentation
bin1000111001000…
…0101111100110
32121011200102100
42032100233212
534021334110
63411152530
7631662015
oct216205746
977150370
1037293030
111a061895
12105a5746
1379596a8
144d4aa7c
153419bc0
hex2390be6

37293030 has 24 divisors (see below), whose sum is σ = 96962112. Its totient is φ = 9944784.

The previous prime is 37293017. The next prime is 37293037. The reversal of 37293030 is 3039273.

37293030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37292985 and 37293003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37293037) 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 11 ways as a sum of consecutive naturals, for example, 207094 + ... + 207273.

It is an arithmetic number, because the mean of its divisors is an integer number (4040088).

Almost surely, 237293030 is an apocalyptic number.

37293030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37293030 is an abundant number, since it is smaller than the sum of its proper divisors (59669082).

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

37293030 is a wasteful number, since it uses less digits than its factorization.

37293030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414380 (or 414377 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 37293030 is about 6106.8019453721. The cubic root of 37293030 is about 334.0995496106.

The spelling of 37293030 in words is "thirty-seven million, two hundred ninety-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 414367 828734 1243101 2071835 2486202 3729303 4143670 6215505 7458606 12431010 18646515 37293030