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380695140 = 22345759569
BaseRepresentation
bin10110101100001…
…111001001100100
3222112100022120000
4112230033021210
51234424221030
6101435341300
712301566240
oct2654171144
9875308500
10380695140
1118598a991
12a75b1830
1360b426c7
14387bb420
152364d860
hex16b0f264

380695140 has 240 divisors, whose sum is σ = 1390435200. Its totient is φ = 85390848.

The previous prime is 380695123. The next prime is 380695141. The reversal of 380695140 is 41596083.

380695140 is a `hidden beast` number, since 3 + 80 + 69 + 514 + 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 = 380695095 and 380695104.

It is not an unprimeable number, because it can be changed into a prime (380695141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 668776 + ... + 669344.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2380695140 is an apocalyptic number.

380695140 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 380695140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

380695140 is an abundant number, since it is smaller than the sum of its proper divisors (1009740060).

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

380695140 is a wasteful number, since it uses less digits than its factorization.

380695140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 380695140 is about 19511.4105077004. The cubic root of 380695140 is about 724.7570426494.

The spelling of 380695140 in words is "three hundred eighty million, six hundred ninety-five thousand, one hundred forty".