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380581740 = 22375711113
BaseRepresentation
bin10110101011110…
…011011101101100
3222112010120000000
4112223303131230
51234412103430
6101433104300
712300614520
oct2653633554
9875116000
10380581740
11185912770
12a7558090
1360b02bc6
143878bd80
1523629e60
hex16af376c

380581740 has 384 divisors, whose sum is σ = 1507645440. Its totient is φ = 78382080.

The previous prime is 380581709. The next prime is 380581763. The reversal of 380581740 is 47185083.

380581740 is a `hidden beast` number, since 3 + 8 + 0 + 581 + 74 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 380581695 and 380581704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3367924 + ... + 3368036.

It is an arithmetic number, because the mean of its divisors is an integer number (3926160).

Almost surely, 2380581740 is an apocalyptic number.

380581740 is a gapful number since it is divisible by the number (30) 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 380581740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753822720).

380581740 is an abundant number, since it is smaller than the sum of its proper divisors (1127063700).

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

380581740 is a wasteful number, since it uses less digits than its factorization.

380581740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 380581740 is about 19508.5042994075. The cubic root of 380581740 is about 724.6850728921.

The spelling of 380581740 in words is "three hundred eighty million, five hundred eighty-one thousand, seven hundred forty".