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1441460340 = 2233511232377
BaseRepresentation
bin101010111101010…
…1111000001110100
310201110100202212000
41111322233001310
510423003212330
6355011255300
750502132165
oct12572570164
93643322760
101441460340
1167a737541
123428aa530
1319c836c18
14d962576c
1586834560
hex55eaf074

1441460340 has 96 divisors (see below), whose sum is σ = 4490424960. Its totient is φ = 383885568.

The previous prime is 1441460323. The next prime is 1441460357. The reversal of 1441460340 is 430641441.

1441460340 is a `hidden beast` number, since 1 + 4 + 4 + 14 + 603 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1441460323) and next prime (1441460357).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605232 + ... + 607608.

It is an arithmetic number, because the mean of its divisors is an integer number (46775260).

Almost surely, 21441460340 is an apocalyptic number.

1441460340 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 1441460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245212480).

1441460340 is an abundant number, since it is smaller than the sum of its proper divisors (3048964620).

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

1441460340 is a wasteful number, since it uses less digits than its factorization.

1441460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1441460340 is about 37966.5687151209. The cubic root of 1441460340 is about 1129.6248369539.

The spelling of 1441460340 in words is "one billion, four hundred forty-one million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1123 2246 2377 3369 4492 4754 5615 6738 7131 9508 10107 11230 11885 13476 14262 16845 20214 21393 22460 23770 28524 30321 33690 35655 40428 42786 47540 50535 60642 64179 67380 71310 85572 101070 106965 121284 128358 142620 151605 202140 213930 256716 303210 320895 427860 606420 641790 1283580 2669371 5338742 8008113 10677484 13346855 16016226 24024339 26693710 32032452 40040565 48048678 53387420 72073017 80081130 96097356 120121695 144146034 160162260 240243390 288292068 360365085 480486780 720730170 1441460340