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380214396 = 2232194711827
BaseRepresentation
bin10110101010011…
…001110001111100
3222111102220002200
4112222121301330
51234313330041
6101421151500
712264524532
oct2652316174
9874386080
10380214396
11185691781
12a73bb590
1360a04943
14386d4152
15235a61b6
hex16a99c7c

380214396 has 72 divisors (see below), whose sum is σ = 1033294080. Its totient is φ = 117503136.

The previous prime is 380214391. The next prime is 380214409. The reversal of 380214396 is 693412083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380214396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380214391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26235 + ... + 38061.

Almost surely, 2380214396 is an apocalyptic number.

380214396 is a gapful number since it is divisible by the number (36) 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 380214396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516647040).

380214396 is an abundant number, since it is smaller than the sum of its proper divisors (653079684).

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

380214396 is a wasteful number, since it uses less digits than its factorization.

380214396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 380214396 is about 19499.0870555521. The cubic root of 380214396 is about 724.4518383627.

The spelling of 380214396 in words is "three hundred eighty million, two hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 3572 5358 8037 10716 11827 16074 23654 32148 35481 47308 70962 106443 141924 212886 224713 425772 449426 555869 674139 898852 1111738 1348278 1667607 2022417 2223476 2696556 3335214 4044834 5002821 6670428 8089668 10005642 10561511 20011284 21123022 31684533 42246044 63369066 95053599 126738132 190107198 380214396