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1244404464 = 243972411109
BaseRepresentation
bin100101000101100…
…0001101011110000
310012201120022000020
41022023001223300
510022031420324
6323251523440
742560156232
oct11213015360
93181508006
101244404464
11589485546
122a88b9580
1316aa70a04
14bb3ac252
15743ac679
hex4a2c1af0

1244404464 has 80 divisors (see below), whose sum is σ = 3264270240. Its totient is φ = 408453120.

The previous prime is 1244404423. The next prime is 1244404493. The reversal of 1244404464 is 4644044421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121542 + ... + 1122650.

It is an arithmetic number, because the mean of its divisors is an integer number (40803378).

Almost surely, 21244404464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632135120).

1244404464 is an abundant number, since it is smaller than the sum of its proper divisors (2019865776).

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

1244404464 is a wasteful number, since it uses less digits than its factorization.

1244404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 1244404464 is about 35276.1174734409. The cubic root of 1244404464 is about 1075.6075783702.

Adding to 1244404464 its reverse (4644044421), we get a palindrome (5888448885).

The spelling of 1244404464 in words is "one billion, two hundred forty-four million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 241 291 388 482 582 723 776 964 1109 1164 1446 1552 1928 2218 2328 2892 3327 3856 4436 4656 5784 6654 8872 11568 13308 17744 23377 26616 46754 53232 70131 93508 107573 140262 187016 215146 267269 280524 322719 374032 430292 534538 561048 645438 801807 860584 1069076 1122096 1290876 1603614 1721168 2138152 2581752 3207228 4276304 5163504 6414456 12828912 25925093 51850186 77775279 103700372 155550558 207400744 311101116 414801488 622202232 1244404464