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1244334320 = 245192928229
BaseRepresentation
bin100101000101011…
…0000100011110000
310012201102201210022
41022022300203300
510022022144240
6323250223012
742556444565
oct11212604360
93181381708
101244334320
11589437879
122a8884a68
1316aa47ac8
14bb39086c
15743969b5
hex4a2b08f0

1244334320 has 80 divisors (see below), whose sum is σ = 3150468000. Its totient is φ = 455261184.

The previous prime is 1244334281. The next prime is 1244334337. The reversal of 1244334320 is 234334421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1244334320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29966 + ... + 58194.

It is an arithmetic number, because the mean of its divisors is an integer number (39380850).

Almost surely, 21244334320 is an apocalyptic number.

1244334320 is a gapful number since it is divisible by the number (10) 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 1244334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575234000).

1244334320 is an abundant number, since it is smaller than the sum of its proper divisors (1906133680).

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

1244334320 is a wasteful number, since it uses less digits than its factorization.

1244334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290 (or 28284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 1244334320 is about 35275.1232457096. The cubic root of 1244334320 is about 1075.5873682114.

Adding to 1244334320 its reverse (234334421), we get a palindrome (1478668741).

The spelling of 1244334320 in words is "one billion, two hundred forty-four million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 28229 44080 56458 112916 141145 225832 282290 451664 536351 564580 818641 1072702 1129160 1637282 2145404 2258320 2681755 3274564 4093205 4290808 5363510 6549128 8186410 8581616 10727020 13098256 15554179 16372820 21454040 31108358 32745640 42908080 62216716 65491280 77770895 124433432 155541790 248866864 311083580 622167160 1244334320