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340412212100 = 225231919119489
BaseRepresentation
bin1001111010000100010…
…01100010001110000100
31012112122220122002221102
410331002021202032010
521034131011241400
6420214435035232
733410506026602
oct4750211421604
91175586562842
10340412212100
111214059013a4
1255b8343bb18
132614040a14c
1412694372872
158cc546c9d5
hex4f42262384

340412212100 has 72 divisors (see below), whose sum is σ = 763359475200. Its totient is φ = 131627980800.

The previous prime is 340412212079. The next prime is 340412212111. The reversal of 340412212100 is 1212214043.

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

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, 2789156 + ... + 2908644.

Almost surely, 2340412212100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340412212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381679737600).

340412212100 is an abundant number, since it is smaller than the sum of its proper divisors (422947263100).

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

340412212100 is a wasteful number, since it uses less digits than its factorization.

340412212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120453 (or 120446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 340412212100 its reverse (1212214043), we get a palindrome (341624426143).

The spelling of 340412212100 in words is "three hundred forty billion, four hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 919 1550 1838 3100 3676 4595 9190 18380 22975 28489 45950 56978 91900 113956 119489 142445 238978 284890 477956 569780 597445 712225 1194890 1424450 2389780 2848900 2987225 3704159 5974450 7408318 11948900 14816636 18520795 37041590 74083180 92603975 109810391 185207950 219620782 370415900 439241564 549051955 1098103910 2196207820 2745259775 3404122121 5490519550 6808244242 10981039100 13616488484 17020610605 34041221210 68082442420 85103053025 170206106050 340412212100