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380999745 = 325721311319
BaseRepresentation
bin10110101101011…
…001100001000001
3222112220210101200
4112231121201001
51240013442440
6101450051413
712304305300
oct2655314101
9875823350
10380999745
11186078825
12a7719b69
1360c1b249
143885a437
15236adc30
hex16b59841

380999745 has 72 divisors (see below), whose sum is σ = 774671040. Its totient is φ = 172710720.

The previous prime is 380999683. The next prime is 380999753. The reversal of 380999745 is 547999083.

It is not a de Polignac number, because 380999745 - 26 = 380999681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 380999691 and 380999700.

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 71 ways as a sum of consecutive naturals, for example, 288196 + ... + 289514.

It is an arithmetic number, because the mean of its divisors is an integer number (10759320).

Almost surely, 2380999745 is an apocalyptic number.

380999745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

380999745 is an abundant number, since it is smaller than the sum of its proper divisors (393671295).

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

380999745 is a wasteful number, since it uses less digits than its factorization.

380999745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 380999745 is about 19519.2147639192. The cubic root of 380999745 is about 724.9502906861.

The spelling of 380999745 in words is "three hundred eighty million, nine hundred ninety-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 131 147 245 315 393 441 655 735 917 1179 1319 1965 2205 2751 3957 4585 5895 6419 6595 8253 9233 11871 13755 19257 19785 27699 32095 41265 46165 57771 59355 64631 83097 96285 138495 172789 193893 288855 323155 415485 518367 581679 863945 969465 1209523 1555101 2591835 2908395 3628569 6047615 7775505 8466661 10885707 18142845 25399983 42333305 54428535 76199949 126999915 380999745