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3201052000 = 25532712953
BaseRepresentation
bin1011111011001100…
…0010110101100000
322021002100021211111
42332303002311200
523023432131000
61245345353104
7142216331056
oct27663026540
98232307744
103201052000
1113a2a01823
12754038794
133c0249613
142251c01d6
1513b059cba
hexbecc2d60

3201052000 has 96 divisors (see below), whose sum is σ = 7896680064. Its totient is φ = 1275264000.

The previous prime is 3201051943. The next prime is 3201052007. The reversal of 3201052000 is 2501023.

3201052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201052007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082524 + ... + 1085476.

It is an arithmetic number, because the mean of its divisors is an integer number (82257084).

Almost surely, 23201052000 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 3201052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948340032).

3201052000 is an abundant number, since it is smaller than the sum of its proper divisors (4695628064).

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

3201052000 is a wasteful number, since it uses less digits than its factorization.

3201052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3201052000 is about 56577.8401850053. The cubic root of 3201052000 is about 1473.7740651442.

Adding to 3201052000 its reverse (2501023), we get a palindrome (3203553023).

The spelling of 3201052000 in words is "three billion, two hundred one million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 271 400 500 542 800 1000 1084 1355 2000 2168 2710 2953 4000 4336 5420 5906 6775 8672 10840 11812 13550 14765 21680 23624 27100 29530 33875 43360 47248 54200 59060 67750 73825 94496 108400 118120 135500 147650 216800 236240 271000 295300 369125 472480 542000 590600 738250 800263 1084000 1181200 1476500 1600526 2362400 2953000 3201052 4001315 5906000 6402104 8002630 11812000 12804208 16005260 20006575 25608416 32010520 40013150 64021040 80026300 100032875 128042080 160052600 200065750 320105200 400131500 640210400 800263000 1600526000 3201052000