Search a number
-
+
380448628 = 2271953103131
BaseRepresentation
bin10110101011010…
…010111101110100
3222111212210101221
4112223102331310
51234343324003
6101430200124
712266521450
oct2653227564
9874783357
10380448628
1118583175a
12a74b3044
1360a87441
1438755660
15236007bd
hex16ad2f74

380448628 has 96 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 148936320.

The previous prime is 380448623. The next prime is 380448631. The reversal of 380448628 is 826844083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380448623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2904123 + ... + 2904253.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2380448628 is an apocalyptic number.

380448628 is a gapful number since it is divisible by the number (38) 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 380448628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

380448628 is an abundant number, since it is smaller than the sum of its proper divisors (449820812).

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

380448628 is a wasteful number, since it uses less digits than its factorization.

380448628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 380448628 is about 19505.0923607144. The cubic root of 380448628 is about 724.6005745939.

The spelling of 380448628 in words is "three hundred eighty million, four hundred forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 53 76 103 106 131 133 206 212 262 266 371 412 524 532 721 742 917 1007 1442 1484 1834 1957 2014 2489 2884 3668 3914 4028 4978 5459 6943 7049 7828 9956 10918 13493 13699 13886 14098 17423 21836 26986 27398 27772 28196 34846 38213 48601 53972 54796 69692 76426 94451 97202 103721 131917 152852 188902 194404 207442 256367 263834 377804 414884 512734 527668 715129 726047 923419 1025468 1430258 1452094 1794569 1846838 2860516 2904188 3589138 3693676 5005903 7178276 10011806 13587451 20023612 27174902 54349804 95112157 190224314 380448628