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1378361448 = 23346313371
BaseRepresentation
bin101001000101000…
…0010000001101000
310120001122000110000
41102022002001220
510310330031243
6344435023000
746104610332
oct12212020150
93501560400
101378361448
1164805a3a2
1232573aa60
1318c7435b9
14d10bc452
158101d5d3
hex52282068

1378361448 has 80 divisors (see below), whose sum is σ = 3867953760. Its totient is φ = 458589600.

The previous prime is 1378361419. The next prime is 1378361449. The reversal of 1378361448 is 8441638731.

It is not an unprimeable number, because it can be changed into a prime (1378361449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 407203 + ... + 410573.

It is an arithmetic number, because the mean of its divisors is an integer number (48349422).

Almost surely, 21378361448 is an apocalyptic number.

1378361448 is a gapful number since it is divisible by the number (18) 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 1378361448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933976880).

1378361448 is an abundant number, since it is smaller than the sum of its proper divisors (2489592312).

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

1378361448 is a wasteful number, since it uses less digits than its factorization.

1378361448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4007 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1378361448 is about 37126.2905230242. The cubic root of 1378361448 is about 1112.8954646410.

The spelling of 1378361448 in words is "one billion, three hundred seventy-eight million, three hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 631 648 1262 1893 2524 3371 3786 5048 5679 6742 7572 10113 11358 13484 15144 17037 20226 22716 26968 30339 34074 40452 45432 51111 60678 68148 80904 91017 102222 121356 136296 182034 204444 242712 273051 364068 408888 546102 728136 1092204 2127101 2184408 4254202 6381303 8508404 12762606 17016808 19143909 25525212 38287818 51050424 57431727 76575636 114863454 153151272 172295181 229726908 344590362 459453816 689180724 1378361448