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1342214000 = 24531135939
BaseRepresentation
bin101000000000000…
…1000111101110000
310110112121112110122
41100000020331300
510222101322000
6341104145412
745155426231
oct12000107560
93415545418
101342214000
11629710276
12315608268
131850c848a
14ca38d088
157cc7d085
hex50008f70

1342214000 has 80 divisors (see below), whose sum is σ = 3274745760. Its totient is φ = 532044800.

The previous prime is 1342213969. The next prime is 1342214021. The reversal of 1342214000 is 4122431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1342214000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223031 + ... + 228969.

It is an arithmetic number, because the mean of its divisors is an integer number (40934322).

Almost surely, 21342214000 is an apocalyptic number.

1342214000 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 1342214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637372880).

1342214000 is an abundant number, since it is smaller than the sum of its proper divisors (1932531760).

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

1342214000 is a wasteful number, since it uses less digits than its factorization.

1342214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1342214000 is about 36636.2388899297. The cubic root of 1342214000 is about 1103.0806206683.

Adding to 1342214000 its reverse (4122431), we get a palindrome (1346336431).

The spelling of 1342214000 in words is "one billion, three hundred forty-two million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 5939 9040 11300 11878 14125 22600 23756 28250 29695 45200 47512 56500 59390 95024 113000 118780 148475 226000 237560 296950 475120 593900 671107 742375 1187800 1342214 1484750 2375600 2684428 2969500 3355535 5368856 5939000 6711070 10737712 11878000 13422140 16777675 26844280 33555350 53688560 67110700 83888375 134221400 167776750 268442800 335553500 671107000 1342214000