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379965330 = 23452931601
BaseRepresentation
bin10110101001011…
…100111110010010
3222110222020110000
4112221130332102
51234232342310
6101411550430
712262436433
oct2651347622
9873866400
10379965330
11185531638
12a72bb416
1360948474
143866b48a
15235574c0
hex16a5cf92

379965330 has 80 divisors (see below), whose sum is σ = 1025811864. Its totient is φ = 100915200.

The previous prime is 379965323. The next prime is 379965361. The reversal of 379965330 is 33569973.

It can be written as a sum of positive squares in 4 ways, for example, as 367834041 + 12131289 = 19179^2 + 3483^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236530 + ... + 238130.

Almost surely, 2379965330 is an apocalyptic number.

379965330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379965330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512905932).

379965330 is an abundant number, since it is smaller than the sum of its proper divisors (645846534).

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

379965330 is a wasteful number, since it uses less digits than its factorization.

379965330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 379965330 is about 19492.6994025969. The cubic root of 379965330 is about 724.2936155835.

The spelling of 379965330 in words is "three hundred seventy-nine million, nine hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 293 405 586 810 879 1465 1601 1758 2637 2930 3202 4395 4803 5274 7911 8005 8790 9606 13185 14409 15822 16010 23733 24015 26370 28818 39555 43227 47466 48030 72045 79110 86454 118665 129681 144090 216135 237330 259362 432270 469093 648405 938186 1296810 1407279 2345465 2814558 4221837 4690930 7036395 8443674 12665511 14072790 21109185 25331022 37996533 42218370 63327555 75993066 126655110 189982665 379965330