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1344204020 = 2251931532153
BaseRepresentation
bin101000000011110…
…1110110011110100
310110200100122021002
41100013232303310
510223104012040
6341214542432
745211355105
oct12007566364
93420318232
101344204020
1162a84a415
12316207a18
131856441c3
14ca74a3ac
157d022a15
hex501eecf4

1344204020 has 96 divisors (see below), whose sum is σ = 3126574080. Its totient is φ = 483425280.

The previous prime is 1344203999. The next prime is 1344204031. The reversal of 1344204020 is 204024431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1344203983 and 1344204001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623264 + ... + 625416.

It is an arithmetic number, because the mean of its divisors is an integer number (32568480).

Almost surely, 21344204020 is an apocalyptic number.

1344204020 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 1344204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563287040).

1344204020 is an abundant number, since it is smaller than the sum of its proper divisors (1782370060).

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

1344204020 is a wasteful number, since it uses less digits than its factorization.

1344204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1344204020 is about 36663.3880049294. The cubic root of 1344204020 is about 1103.6255085714.

Adding to 1344204020 its reverse (204024431), we get a palindrome (1548228451).

The spelling of 1344204020 in words is "one billion, three hundred forty-four million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 53 62 76 95 106 124 155 190 212 265 310 380 530 589 620 1007 1060 1178 1643 2014 2153 2356 2945 3286 4028 4306 5035 5890 6572 8215 8612 10070 10765 11780 16430 20140 21530 31217 32860 40907 43060 62434 66743 81814 114109 124868 133486 156085 163628 204535 228218 266972 312170 333715 409070 456436 570545 624340 667430 818140 1141090 1268117 1334860 2168071 2282180 2536234 3537379 4336142 5072468 6340585 7074758 8672284 10840355 12681170 14149516 17686895 21680710 25362340 35373790 43361420 67210201 70747580 134420402 268840804 336051005 672102010 1344204020