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1344032300 = 2252135319507
BaseRepresentation
bin101000000011100…
…0100111000101100
310110200000220201002
41100013010320230
510223033013200
6341211135432
745210041342
oct12007047054
93420026632
101344032300
1162a7423a6
12316144578
131855b3cb0
14ca703992
157cedbbd5
hex501c4e2c

1344032300 has 72 divisors (see below), whose sum is σ = 3200326416. Its totient is φ = 486869760.

The previous prime is 1344032281. The next prime is 1344032309. The reversal of 1344032300 is 32304431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1344032309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59147 + ... + 78653.

It is an arithmetic number, because the mean of its divisors is an integer number (44448978).

Almost surely, 21344032300 is an apocalyptic number.

1344032300 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 1344032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600163208).

1344032300 is an abundant number, since it is smaller than the sum of its proper divisors (1856294116).

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

1344032300 is a wasteful number, since it uses less digits than its factorization.

1344032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1344032300 is about 36661.0460843659. The cubic root of 1344032300 is about 1103.5785110819.

Adding to 1344032300 its reverse (32304431), we get a palindrome (1376336731).

The spelling of 1344032300 in words is "one billion, three hundred forty-four million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1300 1325 1378 2650 2756 3445 5300 6890 13780 17225 19507 34450 39014 68900 78028 97535 195070 253591 390140 487675 507182 975350 1014364 1033871 1267955 1950700 2067742 2535910 4135484 5071820 5169355 6339775 10338710 12679550 13440323 20677420 25359100 25846775 26880646 51693550 53761292 67201615 103387100 134403230 268806460 336008075 672016150 1344032300