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1344226620 = 2235116533119
BaseRepresentation
bin101000000011111…
…0100010100111100
310110200101210021010
41100013310110330
510223110222440
6341215235220
745211511022
oct12007642474
93420353233
101344226620
1162a8653a0
12316218b10
13185651589
14ca754712
157d029580
hex501f453c

1344226620 has 96 divisors (see below), whose sum is σ = 4113607680. Its totient is φ = 325269760.

The previous prime is 1344226591. The next prime is 1344226627. The reversal of 1344226620 is 266224431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344226627) 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, 429421 + ... + 432539.

It is an arithmetic number, because the mean of its divisors is an integer number (42850080).

Almost surely, 21344226620 is an apocalyptic number.

1344226620 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 1344226620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056803840).

1344226620 is an abundant number, since it is smaller than the sum of its proper divisors (2769381060).

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

1344226620 is a wasteful number, since it uses less digits than its factorization.

1344226620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1344226620 is about 36663.6962130116. The cubic root of 1344226620 is about 1103.6316935940.

The spelling of 1344226620 in words is "one billion, three hundred forty-four million, two hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 653 660 1306 1959 2612 3119 3265 3918 6238 6530 7183 7836 9357 9795 12476 13060 14366 15595 18714 19590 21549 28732 31190 34309 35915 37428 39180 43098 46785 62380 68618 71830 86196 93570 102927 107745 137236 143660 171545 187140 205854 215490 343090 411708 430980 514635 686180 1029270 2036707 2058540 4073414 6110121 8146828 10183535 12220242 20367070 22403777 24440484 30550605 40734140 44807554 61101210 67211331 89615108 112018885 122202420 134422662 224037770 268845324 336056655 448075540 672113310 1344226620