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1344440460 = 22351110319777
BaseRepresentation
bin101000000100010…
…1000100010001100
310110200210122121010
41100020220202030
510223134043320
6341224005220
745213361326
oct12010504214
93420718533
101344440460
1162a9a1020
12316300810
131856c79cc
14ca7ac616
157d06cae0
hex5022888c

1344440460 has 96 divisors (see below), whose sum is σ = 4146734592. Its totient is φ = 322744320.

The previous prime is 1344440443. The next prime is 1344440477. The reversal of 1344440460 is 640444431.

It is an interprime number because it is at equal distance from previous prime (1344440443) and next prime (1344440477).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58092 + ... + 77868.

It is an arithmetic number, because the mean of its divisors is an integer number (43195152).

Almost surely, 21344440460 is an apocalyptic number.

1344440460 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 1344440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073367296).

1344440460 is an abundant number, since it is smaller than the sum of its proper divisors (2802294132).

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

1344440460 is a wasteful number, since it uses less digits than its factorization.

1344440460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19903 (or 19901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 1344440460 is about 36666.6123332931. The cubic root of 1344440460 is about 1103.6902125185.

Adding to 1344440460 its reverse (640444431), we get a palindrome (1984884891).

The spelling of 1344440460 in words is "one billion, three hundred forty-four million, four hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 19777 22660 33990 39554 59331 67980 79108 98885 118662 197770 217547 237324 296655 395540 435094 593310 652641 870188 1087735 1186620 1305282 2037031 2175470 2610564 3263205 4074062 4350940 6111093 6526410 8148124 10185155 12222186 13052820 20370310 22407341 24444372 30555465 40740620 44814682 61110930 67222023 89629364 112036705 122221860 134444046 224073410 268888092 336110115 448146820 672220230 1344440460