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3185303940 = 22345713173141
BaseRepresentation
bin1011110111011011…
…1110000110000100
322012222201012120000
42331312332012010
523010414211230
61244024041300
7141635431260
oct27566760604
98188635500
103185303940
111395025aa5
1274a903230
133b9bc4640
142230810a0
15139998b60
hexbddbe184

3185303940 has 960 divisors, whose sum is σ = 13769699328. Its totient is φ = 597196800.

The previous prime is 3185303939. The next prime is 3185303941. The reversal of 3185303940 is 493035813.

3185303940 is a `hidden beast` number, since 31 + 8 + 530 + 3 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3185303939) and next prime (3185303941).

It is a super-2 number, since 2×31853039402 = 20292322380359047200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3185303895 and 3185303904.

It is not an unprimeable number, because it can be changed into a prime (3185303941) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77690320 + ... + 77690360.

Almost surely, 23185303940 is an apocalyptic number.

3185303940 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 3185303940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884849664).

3185303940 is an abundant number, since it is smaller than the sum of its proper divisors (10584395388).

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

3185303940 is a wasteful number, since it uses less digits than its factorization.

3185303940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3185303940 is about 56438.4969679385. The cubic root of 3185303940 is about 1471.3532727538.

The spelling of 3185303940 in words is "three billion, one hundred eighty-five million, three hundred three thousand, nine hundred forty".