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2032970336 = 254710912401
BaseRepresentation
bin111100100101100…
…1010101001100000
312020200101121000122
41321023022221200
513130420022321
6533421335412
7101243651135
oct17113125140
95220347018
102032970336
11953616781
12488a07568
1326524c337
14153ddc58c
15bd7268ab
hex792caa60

2032970336 has 48 divisors (see below), whose sum is σ = 4125401280. Its totient is φ = 985651200.

The previous prime is 2032970333. The next prime is 2032970353. The reversal of 2032970336 is 6330792302.

It is a junction number, because it is equal to n+sod(n) for n = 2032970296 and 2032970305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032970333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157736 + ... + 170136.

It is an arithmetic number, because the mean of its divisors is an integer number (85945860).

Almost surely, 22032970336 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 2032970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062700640).

2032970336 is an abundant number, since it is smaller than the sum of its proper divisors (2092430944).

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

2032970336 is a wasteful number, since it uses less digits than its factorization.

2032970336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 2032970336 is about 45088.4723183210. The cubic root of 2032970336 is about 1266.8066871374.

The spelling of 2032970336 in words is "two billion, thirty-two million, nine hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 94 109 188 218 376 436 752 872 1504 1744 3488 5123 10246 12401 20492 24802 40984 49604 81968 99208 163936 198416 396832 582847 1165694 1351709 2331388 2703418 4662776 5406836 9325552 10813672 18651104 21627344 43254688 63530323 127060646 254121292 508242584 1016485168 2032970336