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379357468 = 227293891201
BaseRepresentation
bin10110100111001…
…000100100011100
3222102211100121121
4112213020210130
51234103414333
6101350540324
712254325310
oct2647104434
9872740547
10379357468
11185156976
12a70676a4
1360794899
143854db40
152348732d
hex169c891c

379357468 has 48 divisors (see below), whose sum is σ = 787550400. Its totient is φ = 156441600.

The previous prime is 379357463. The next prime is 379357471. The reversal of 379357468 is 864753973.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379357463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 315268 + ... + 316468.

It is an arithmetic number, because the mean of its divisors is an integer number (16407300).

Almost surely, 2379357468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379357468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393775200).

379357468 is an abundant number, since it is smaller than the sum of its proper divisors (408192932).

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

379357468 is a wasteful number, since it uses less digits than its factorization.

379357468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 379357468 is about 19477.1011190064. The cubic root of 379357468 is about 723.9071719452.

The spelling of 379357468 in words is "three hundred seventy-nine million, three hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 389 406 778 812 1201 1556 2402 2723 4804 5446 8407 10892 11281 16814 22562 33628 34829 45124 69658 78967 139316 157934 243803 315868 467189 487606 934378 975212 1868756 3270323 6540646 13081292 13548481 27096962 54193924 94839367 189678734 379357468