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370828380 = 223513475421
BaseRepresentation
bin10110000110100…
…110010001011100
3221211210000220110
4112012212101130
51224413002010
6100444050020
712121663206
oct2606462134
9854700813
10370828380
1118036093a
12a4233910
135ba996a0
143736d776
1522850120
hex161a645c

370828380 has 48 divisors (see below), whose sum is σ = 1118192544. Its totient is φ = 91280640.

The previous prime is 370828373. The next prime is 370828411. The reversal of 370828380 is 83828073.

370828380 = T2459 + T2460 + ... + T2575.

It is a happy number.

370828380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 236931 + ... + 238490.

It is an arithmetic number, because the mean of its divisors is an integer number (23295678).

Almost surely, 2370828380 is an apocalyptic number.

370828380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

370828380 is an abundant number, since it is smaller than the sum of its proper divisors (747364164).

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

370828380 is a wasteful number, since it uses less digits than its factorization.

370828380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475446 (or 475444 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 370828380 is about 19256.9047357045. The cubic root of 370828380 is about 718.4408002871.

The spelling of 370828380 in words is "three hundred seventy million, eight hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 475421 950842 1426263 1901684 2377105 2852526 4754210 5705052 6180473 7131315 9508420 12360946 14262630 18541419 24721892 28525260 30902365 37082838 61804730 74165676 92707095 123609460 185414190 370828380