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1210340000 = 255473829
BaseRepresentation
bin100100000100100…
…0101001010100000
310010100110122100102
41020021011022200
54434321340000
6320033441532
741664502022
oct11011051240
93110418312
101210340000
115712293a1
122994102a8
131639a4a1c
14b6a62012
15713ce3d5
hex482452a0

1210340000 has 120 divisors (see below), whose sum is σ = 3022048260. Its totient is φ = 476928000.

The previous prime is 1210339997. The next prime is 1210340009. The reversal of 1210340000 is 430121.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 53523856 + 1156816144 = 7316^2 + 34012^2 .

It is not an unprimeable number, because it can be changed into a prime (1210340009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1459586 + ... + 1460414.

Almost surely, 21210340000 is an apocalyptic number.

1210340000 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 1210340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511024130).

1210340000 is an abundant number, since it is smaller than the sum of its proper divisors (1811708260).

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

1210340000 is an frugal number, since it uses more digits than its factorization.

1210340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1210340000 is about 34789.9410749717. The cubic root of 1210340000 is about 1065.7020358936.

Adding to 1210340000 its reverse (430121), we get a palindrome (1210770121).

The spelling of 1210340000 in words is "one billion, two hundred ten million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 829 1000 1168 1250 1460 1658 1825 2000 2336 2500 2920 3316 3650 4000 4145 5000 5840 6632 7300 8290 9125 10000 11680 13264 14600 16580 18250 20000 20725 26528 29200 33160 36500 41450 45625 58400 60517 66320 73000 82900 91250 103625 121034 132640 146000 165800 182500 207250 242068 292000 302585 331600 365000 414500 484136 518125 605170 663200 730000 829000 968272 1036250 1210340 1460000 1512925 1658000 1936544 2072500 2420680 3025850 3316000 4145000 4841360 6051700 7564625 8290000 9682720 12103400 15129250 16580000 24206800 30258500 37823125 48413600 60517000 75646250 121034000 151292500 242068000 302585000 605170000 1210340000