Search a number
-
+
1344301520 = 245174721031
BaseRepresentation
bin101000000100000…
…0110100111010000
310110200112121000012
41100020012213100
510223120122040
6341221014052
745212242262
oct12010064720
93420477005
101344301520
1162a9066a1
12316254328
131856796b3
14ca773b32
157d041865
hex502069d0

1344301520 has 80 divisors (see below), whose sum is σ = 3379926528. Its totient is φ = 495298560.

The previous prime is 1344301457. The next prime is 1344301523. The reversal of 1344301520 is 251034431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344301523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53405 + ... + 74435.

Almost surely, 21344301520 is an apocalyptic number.

1344301520 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 1344301520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689963264).

1344301520 is an abundant number, since it is smaller than the sum of its proper divisors (2035625008).

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

1344301520 is a wasteful number, since it uses less digits than its factorization.

1344301520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21108 (or 21102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1344301520 is about 36664.7176451694. The cubic root of 1344301520 is about 1103.6521912485.

Adding to 1344301520 its reverse (251034431), we get a palindrome (1595335951).

The spelling of 1344301520 in words is "one billion, three hundred forty-four million, three hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 15980 21031 31960 42062 63920 84124 105155 168248 210310 336496 357527 420620 715054 841240 988457 1430108 1682480 1787635 1976914 2860216 3575270 3953828 4942285 5720432 7150540 7907656 9884570 14301080 15815312 16803769 19769140 28602160 33607538 39538280 67215076 79076560 84018845 134430152 168037690 268860304 336075380 672150760 1344301520