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332020000 = 2554131277
BaseRepresentation
bin10011110010100…
…011100100100000
3212010202100211001
4103302203210200
51134444120000
652540201344
711141060224
oct2362434440
9763670731
10332020000
111604645a4
1293239254
1353a2c350
143214a784
151e23646a
hex13ca3920

332020000 has 120 divisors (see below), whose sum is σ = 880340076. Its totient is φ = 122496000.

The previous prime is 332019997. The next prime is 332020049. The reversal of 332020000 is 20233.

It can be written as a sum of positive squares in 10 ways, for example, as 50183056 + 281836944 = 7084^2 + 16788^2 .

It is a super-2 number, since 2×3320200002 = 220474560800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259362 + ... + 260638.

Almost surely, 2332020000 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 332020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440170038).

332020000 is an abundant number, since it is smaller than the sum of its proper divisors (548320076).

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

332020000 is a wasteful number, since it uses less digits than its factorization.

332020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 332020000 is about 18221.4159713234. The cubic root of 332020000 is about 692.4494613120.

Adding to 332020000 its reverse (20233), we get a palindrome (332040233).

It can be divided in two parts, 3 and 32020000, that added together give a triangular number (32020003 = T8002).

The spelling of 332020000 in words is "three hundred thirty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1277 1300 1625 2000 2080 2500 2554 2600 3250 4000 5000 5108 5200 6385 6500 8125 10000 10216 10400 12770 13000 16250 16601 20000 20432 25540 26000 31925 32500 33202 40864 51080 52000 63850 65000 66404 83005 102160 127700 130000 132808 159625 166010 204320 255400 260000 265616 319250 332020 415025 510800 531232 638500 664040 798125 830050 1021600 1277000 1328080 1596250 1660100 2075125 2554000 2656160 3192500 3320200 4150250 5108000 6385000 6640400 8300500 10375625 12770000 13280800 16601000 20751250 25540000 33202000 41502500 66404000 83005000 166010000 332020000