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3203420000 = 25541114561
BaseRepresentation
bin1011111011110000…
…0100111101100000
322021020210121010012
42332330010331200
523030033420000
61245512224052
7142245422624
oct27674047540
98236717105
103203420000
1113a4279950
1275499b028
133c08983c1
14225639184
1513b376735
hexbef04f60

3203420000 has 120 divisors (see below), whose sum is σ = 8597929032. Its totient is φ = 1164800000.

The previous prime is 3203419997. The next prime is 3203420023. The reversal of 3203420000 is 243023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212720 + ... + 227280.

Almost surely, 23203420000 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 3203420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298964516).

3203420000 is an abundant number, since it is smaller than the sum of its proper divisors (5394509032).

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

3203420000 is a wasteful number, since it uses less digits than its factorization.

3203420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3203420000 is about 56598.7632373712. The cubic root of 3203420000 is about 1474.1373870335.

Adding to 3203420000 its reverse (243023), we get a palindrome (3203663023).

The spelling of 3203420000 in words is "three billion, two hundred three million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 14561 20000 22000 27500 29122 44000 55000 58244 72805 110000 116488 145610 160171 220000 232976 291220 320342 364025 465952 582440 640684 728050 800855 1164880 1281368 1456100 1601710 1820125 2329760 2562736 2912200 3203420 3640250 4004275 5125472 5824400 6406840 7280500 8008550 9100625 11648800 12813680 14561000 16017100 18201250 20021375 25627360 29122000 32034200 36402500 40042750 58244000 64068400 72805000 80085500 100106875 128136800 145610000 160171000 200213750 291220000 320342000 400427500 640684000 800855000 1601710000 3203420000