Search a number
-
+
1342902000 = 243531120347
BaseRepresentation
bin101000000001011…
…0000111011110000
310110120220111020010
41100002300323300
510222240331000
6341131014520
745164323116
oct12002607360
93416814203
101342902000
1162a040170
1231589a440
131852a968b
14ca4cbab6
157cd66d50
hex500b0ef0

1342902000 has 160 divisors (see below), whose sum is σ = 4723340544. Its totient is φ = 325536000.

The previous prime is 1342901999. The next prime is 1342902017. The reversal of 1342902000 is 2092431.

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, 55827 + ... + 76173.

Almost surely, 21342902000 is an apocalyptic number.

1342902000 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 1342902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361670272).

1342902000 is an abundant number, since it is smaller than the sum of its proper divisors (3380438544).

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

1342902000 is a wasteful number, since it uses less digits than its factorization.

1342902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1342902000 is about 36645.6272971278. The cubic root of 1342902000 is about 1103.2690630065.

Adding to 1342902000 its reverse (2092431), we get a palindrome (1344994431).

The spelling of 1342902000 in words is "one billion, three hundred forty-two million, nine hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 20347 22000 33000 40694 61041 66000 81388 101735 122082 162776 203470 223817 244164 305205 325552 406940 447634 488328 508675 610410 671451 813880 895268 976656 1017350 1119085 1220820 1342902 1526025 1627760 1790536 2034700 2238170 2441640 2543375 2685804 3052050 3357255 3581072 4069400 4476340 4883280 5086750 5371608 5595425 6104100 6714510 7630125 8138800 8952680 10173500 10743216 11190850 12208200 13429020 15260250 16786275 17905360 20347000 22381700 24416400 26858040 27977125 30520500 33572550 40694000 44763400 53716080 55954250 61041000 67145100 83931375 89526800 111908500 122082000 134290200 167862750 223817000 268580400 335725500 447634000 671451000 1342902000