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380355680 = 25519125117
BaseRepresentation
bin10110101010111…
…100010001100000
3222111201001220102
4112222330101200
51234332340210
6101424201532
712265653455
oct2652742140
9874631812
10380355680
11185778941
12a74692a8
1360a54043
143872d82c
15235d2ea5
hex16abc460

380355680 has 48 divisors (see below), whose sum is σ = 945892080. Its totient is φ = 144133632.

The previous prime is 380355673. The next prime is 380355757. The reversal of 380355680 is 86553083.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 59519 + ... + 65598.

It is an arithmetic number, because the mean of its divisors is an integer number (19706085).

Almost surely, 2380355680 is an apocalyptic number.

It is an amenable number.

380355680 is an abundant number, since it is smaller than the sum of its proper divisors (565536400).

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

380355680 is a wasteful number, since it uses less digits than its factorization.

380355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125151 (or 125143 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 380355680 is about 19502.7095553413. The cubic root of 380355680 is about 724.5415603541.

The spelling of 380355680 in words is "three hundred eighty million, three hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 125117 250234 500468 625585 1000936 1251170 2001872 2377223 2502340 4003744 4754446 5004680 9508892 10009360 11886115 19017784 20018720 23772230 38035568 47544460 76071136 95088920 190177840 380355680