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379760641 = 1351535669
BaseRepresentation
bin10110101000101…
…011000000000001
3222110120211122221
4112220223000001
51234204320031
6101403331041
712260624611
oct2650530001
9873524587
10379760641
11185401877
12a7220a81
13608a6250
1438616a41
1523516a11
hex16a2b001

379760641 has 8 divisors (see below), whose sum is σ = 409124520. Its totient is φ = 350418432.

The previous prime is 379760627. The next prime is 379760651. The reversal of 379760641 is 146067973.

It can be written as a sum of positive squares in 4 ways, for example, as 6150400 + 373610241 = 2480^2 + 19329^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 379760641 - 211 = 379758593 is a prime.

It is a super-4 number, since 4×3797606414 (a number of 35 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379760651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64155 + ... + 69823.

It is an arithmetic number, because the mean of its divisors is an integer number (51140565).

Almost surely, 2379760641 is an apocalyptic number.

It is an amenable number.

379760641 is a deficient number, since it is larger than the sum of its proper divisors (29363879).

379760641 is a wasteful number, since it uses less digits than its factorization.

379760641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835.

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 379760641 is about 19487.4482937095. The cubic root of 379760641 is about 724.1635321663.

The spelling of 379760641 in words is "three hundred seventy-nine million, seven hundred sixty thousand, six hundred forty-one".

Divisors: 1 13 5153 5669 66989 73697 29212357 379760641