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3200398336 = 21031412459
BaseRepresentation
bin1011111011000010…
…0011010000000000
322021001010002011201
42332300203100000
523023300221321
61245323350544
7142210636252
oct27660432000
98231102151
103200398336
1113a25a5703
12753982454
133c007ac35
1422508dcd2
1513ae7b291
hexbec23400

3200398336 has 88 divisors (see below), whose sum is σ = 6767873280. Its totient is φ = 1510195200.

The previous prime is 3200398321. The next prime is 3200398339. The reversal of 3200398336 is 6338930023.

It is a junction number, because it is equal to n+sod(n) for n = 3200398295 and 3200398304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200398339) 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, 1300275 + ... + 1302733.

Almost surely, 23200398336 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 3200398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383936640).

3200398336 is an abundant number, since it is smaller than the sum of its proper divisors (3567474944).

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

3200398336 is a wasteful number, since it uses less digits than its factorization.

3200398336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 3200398336 is about 56572.0632114474. The cubic root of 3200398336 is about 1473.6737420180.

The spelling of 3200398336 in words is "three billion, two hundred million, three hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 512 656 992 1024 1271 1312 1984 2459 2542 2624 3968 4918 5084 5248 7936 9836 10168 10496 15872 19672 20336 20992 31744 39344 40672 41984 76229 78688 81344 100819 152458 157376 162688 201638 304916 314752 325376 403276 609832 629504 650752 806552 1219664 1259008 1301504 1613104 2439328 2518016 3125389 3226208 4878656 6250778 6452416 9757312 12501556 12904832 19514624 25003112 25809664 39029248 50006224 51619328 78058496 100012448 103238656 200024896 400049792 800099584 1600199168 3200398336