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380097216 = 2632976803
BaseRepresentation
bin10110101001111…
…101001011000000
3222111012221100200
4112221331023000
51234301102331
6101414445200
712263526102
oct2651751300
9874187320
10380097216
11185611734
12a7363800
13609934c5
14386a3572
15235815e6
hex16a7d2c0

380097216 has 84 divisors (see below), whose sum is σ = 1100873592. Its totient is φ = 125374464.

The previous prime is 380097209. The next prime is 380097217. The reversal of 380097216 is 612790083.

It is a super-2 number, since 2×3800972162 = 288947787221901312, which contains 22 as substring.

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 (380097217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52471 + ... + 59273.

It is an arithmetic number, because the mean of its divisors is an integer number (13105638).

Almost surely, 2380097216 is an apocalyptic number.

380097216 is a gapful number since it is divisible by the number (36) 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 380097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550436796).

380097216 is an abundant number, since it is smaller than the sum of its proper divisors (720776376).

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

380097216 is a wasteful number, since it uses less digits than its factorization.

380097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 380097216 is about 19496.0820679438. The cubic root of 380097216 is about 724.3774066825.

The spelling of 380097216 in words is "three hundred eighty million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6803 6984 9312 13606 13968 18624 20409 27212 27936 40818 54424 55872 61227 81636 108848 122454 163272 217696 244908 326544 435392 489816 653088 659891 979632 1306176 1319782 1959264 1979673 2639564 3918528 3959346 5279128 5939019 7918692 10558256 11878038 15837384 21116512 23756076 31674768 42233024 47512152 63349536 95024304 126699072 190048608 380097216