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1221340440 = 233526338699
BaseRepresentation
bin100100011001100…
…0010110100011000
310011010011112010010
41020303002310120
510000130343230
6321105321520
742160136205
oct11063026430
93133145103
101221340440
11577462171
122a10362a0
13166056a68
14b82c6cac
15723539b0
hex48cc2d18

1221340440 has 64 divisors (see below), whose sum is σ = 3678048000. Its totient is φ = 324444032.

The previous prime is 1221340433. The next prime is 1221340447. The reversal of 1221340440 is 440431221.

It is an interprime number because it is at equal distance from previous prime (1221340433) and next prime (1221340447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221340447) 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, 12211 + ... + 50909.

It is an arithmetic number, because the mean of its divisors is an integer number (57469500).

Almost surely, 21221340440 is an apocalyptic number.

1221340440 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 1221340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839024000).

1221340440 is an abundant number, since it is smaller than the sum of its proper divisors (2456707560).

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

1221340440 is a wasteful number, since it uses less digits than its factorization.

1221340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38976 (or 38972 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1221340440 is about 34947.6814681604. The cubic root of 1221340440 is about 1068.9209257077.

Adding to 1221340440 its reverse (440431221), we get a palindrome (1661771661).

The spelling of 1221340440 in words is "one billion, two hundred twenty-one million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 5260 6312 7890 10520 15780 31560 38699 77398 116097 154796 193495 232194 309592 386990 464388 580485 773980 928776 1160970 1547960 2321940 4643880 10177837 20355674 30533511 40711348 50889185 61067022 81422696 101778370 122134044 152667555 203556740 244268088 305335110 407113480 610670220 1221340440