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1344276540 = 223353177853
BaseRepresentation
bin101000000100000…
…0000100000111100
310110200111022202000
41100020000200330
510223113322130
6341220302300
745212106405
oct12010004074
93420438660
101344276540
1162a899952
12316241990
1318566b209
14ca7689ac
157d039260
hex5020083c

1344276540 has 96 divisors (see below), whose sum is σ = 4195920960. Its totient is φ = 357297408.

The previous prime is 1344276517. The next prime is 1344276541. The reversal of 1344276540 is 456724431.

1344276540 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 76 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1344276495 and 1344276504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344276541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167254 + ... + 175106.

It is an arithmetic number, because the mean of its divisors is an integer number (43707510).

Almost surely, 21344276540 is an apocalyptic number.

1344276540 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 1344276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097960480).

1344276540 is an abundant number, since it is smaller than the sum of its proper divisors (2851644420).

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

1344276540 is a wasteful number, since it uses less digits than its factorization.

1344276540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1344276540 is about 36664.3769891157. The cubic root of 1344276540 is about 1103.6453551328.

The spelling of 1344276540 in words is "one billion, three hundred forty-four million, two hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 317 540 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 7853 8559 9510 11412 14265 15706 17118 19020 23559 28530 31412 34236 39265 42795 47118 57060 70677 78530 85590 94236 117795 141354 157060 171180 212031 235590 282708 353385 424062 471180 706770 848124 1060155 1413540 2120310 2489401 4240620 4978802 7468203 9957604 12447005 14936406 22404609 24894010 29872812 37341015 44809218 49788020 67213827 74682030 89618436 112023045 134427654 149364060 224046090 268855308 336069135 448092180 672138270 1344276540