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3970032 = 2431173103
BaseRepresentation
bin1111001001001111110000
321110200212020
433021033300
52004020112
6221031440
745513303
oct17111760
97420766
103970032
112271820
1213b5580
13a90041
14754b3a
1553648c
hex3c93f0

3970032 has 80 divisors (see below), whose sum is σ = 11451648. Its totient is φ = 1175040.

The previous prime is 3970009. The next prime is 3970033. The reversal of 3970032 is 2300793.

It is a super-2 number, since 2×39700322 = 31522308162048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3969984 and 3970011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970033) 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, 38493 + ... + 38595.

Almost surely, 23970032 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 3970032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725824).

3970032 is an abundant number, since it is smaller than the sum of its proper divisors (7481616).

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

3970032 is a wasteful number, since it uses less digits than its factorization.

3970032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3970032 is about 1992.4939146708. The cubic root of 3970032 is about 158.3426840892.

The spelling of 3970032 in words is "three million, nine hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 103 132 146 176 206 219 264 292 309 412 438 528 584 618 803 824 876 1133 1168 1236 1606 1648 1752 2266 2409 2472 3212 3399 3504 4532 4818 4944 6424 6798 7519 9064 9636 12848 13596 15038 18128 19272 22557 27192 30076 38544 45114 54384 60152 82709 90228 120304 165418 180456 248127 330836 360912 496254 661672 992508 1323344 1985016 3970032