Search a number
-
+
380621472 = 253711231151
BaseRepresentation
bin10110101011111…
…101001010100000
3222112012120111120
4112223331022200
51234414341342
6101434012240
712301141410
oct2653751240
9875176446
10380621472
1118593a600
12a7577080
1360b1800a
143879c640
1523636aec
hex16afd2a0

380621472 has 288 divisors, whose sum is σ = 1304174592. Its totient is φ = 95040000.

The previous prime is 380621467. The next prime is 380621473. The reversal of 380621472 is 274126083.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (380621473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2520597 + ... + 2520747.

It is an arithmetic number, because the mean of its divisors is an integer number (4528384).

Almost surely, 2380621472 is an apocalyptic number.

380621472 is a gapful number since it is divisible by the number (32) 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 380621472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652087296).

380621472 is an abundant number, since it is smaller than the sum of its proper divisors (923553120).

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

380621472 is a wasteful number, since it uses less digits than its factorization.

380621472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 380621472 is about 19509.5225979520. The cubic root of 380621472 is about 724.7102905894.

The spelling of 380621472 in words is "three hundred eighty million, six hundred twenty-one thousand, four hundred seventy-two".