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1342233200 = 245271143579
BaseRepresentation
bin101000000000000…
…1101101001110000
310110112122111210202
41100000031221300
510222102430300
6341104414332
745155536220
oct12000155160
93415574722
101342233200
11629723740
123156173a8
13185104139
14ca396080
157cc83ad5
hex5000da70

1342233200 has 120 divisors (see below), whose sum is σ = 4020516480. Its totient is φ = 418348800.

The previous prime is 1342233199. The next prime is 1342233227. The reversal of 1342233200 is 23322431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9011 + ... + 52589.

It is an arithmetic number, because the mean of its divisors is an integer number (33504304).

Almost surely, 21342233200 is an apocalyptic number.

1342233200 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 1342233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010258240).

1342233200 is an abundant number, since it is smaller than the sum of its proper divisors (2678283280).

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

1342233200 is a wasteful number, since it uses less digits than its factorization.

1342233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43615 (or 43604 counting only the distinct ones).

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

The square root of 1342233200 is about 36636.5009246243. The cubic root of 1342233200 is about 1103.0858803976.

Adding to 1342233200 its reverse (23322431), we get a palindrome (1365555631).

The spelling of 1342233200 in words is "one billion, three hundred forty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 43579 87158 174316 217895 305053 348632 435790 479369 610106 697264 871580 958738 1089475 1220212 1525265 1743160 1917476 2178950 2396845 2440424 3050530 3355583 3486320 3834952 4357900 4793690 4880848 6101060 6711166 7626325 7669904 8715800 9587380 11984225 12202120 13422332 15252650 16777915 17431600 19174760 23968450 24404240 26844664 30505300 33555830 38349520 47936900 53689328 61010600 67111660 83889575 95873800 122021200 134223320 167779150 191747600 268446640 335558300 671116600 1342233200