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930526380 = 223457312647
BaseRepresentation
bin110111011101101…
…011010010101100
32101211221122020000
4313131223102230
53401203321010
6232200224300
732026225620
oct6735532254
92354848200
10930526380
11438292273
1221b76b090
1311aa24134
148b825180
1556a5b7c0
hex3776b4ac

930526380 has 240 divisors, whose sum is σ = 3445026816. Its totient is φ = 205752960.

The previous prime is 930526379. The next prime is 930526381. The reversal of 930526380 is 83625039.

It is an interprime number because it is at equal distance from previous prime (930526379) and next prime (930526381).

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

It is not an unprimeable number, because it can be changed into a prime (930526381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350217 + ... + 352863.

Almost surely, 2930526380 is an apocalyptic number.

930526380 is a gapful number since it is divisible by the number (90) 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 930526380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722513408).

930526380 is an abundant number, since it is smaller than the sum of its proper divisors (2514500436).

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

930526380 is a wasteful number, since it uses less digits than its factorization.

930526380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2695 counting only the distinct ones).

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

The square root of 930526380 is about 30504.5304831922. The cubic root of 930526380 is about 976.2841304698.

The spelling of 930526380 in words is "nine hundred thirty million, five hundred twenty-six thousand, three hundred eighty".