Search a number
-
+
1343712720 = 243573721617
BaseRepresentation
bin101000000010111…
…0110110111010000
310110122102200022210
41100011312313100
510222442301340
6341200232120
745204240540
oct12005666720
93418380283
101343712720
1162a544289
1231600b640
131855016ac
14ca65d320
157ce77180
hex50176dd0

1343712720 has 160 divisors (see below), whose sum is σ = 4889472768. Its totient is φ = 298819584.

The previous prime is 1343712707. The next prime is 1343712743. The reversal of 1343712720 is 272173431.

1343712720 = T8504 + T8505 + ... + T8540.

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

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, 51352 + ... + 72968.

Almost surely, 21343712720 is an apocalyptic number.

1343712720 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 1343712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444736384).

1343712720 is an abundant number, since it is smaller than the sum of its proper divisors (3545760048).

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

1343712720 is a wasteful number, since it uses less digits than its factorization.

1343712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21677 (or 21671 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1343712720 is about 36656.6872480316. The cubic root of 1343712720 is about 1103.4910356104.

The spelling of 1343712720 in words is "one billion, three hundred forty-three million, seven hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 21617 31080 43234 62160 64851 86468 108085 129702 151319 172936 216170 259404 302638 324255 345872 432340 453957 518808 605276 648510 756595 799829 864680 907914 1037616 1210552 1297020 1513190 1599658 1729360 1815828 2269785 2399487 2421104 2594040 3026380 3199316 3631656 3999145 4539570 4798974 5188080 5598803 6052760 6398632 7263312 7998290 9079140 9597948 11197606 11997435 12105520 12797264 15996580 16796409 18158280 19195896 22395212 23994870 27994015 31993160 33592818 36316560 38391792 44790424 47989740 55988030 63986320 67185636 83982045 89580848 95979480 111976060 134371272 167964090 191958960 223952120 268742544 335928180 447904240 671856360 1343712720