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3233341696 = 28137313309
BaseRepresentation
bin1100000010111000…
…1110000100000000
322100100002202222011
43000232032010000
523110213413241
61252501422304
7143060644114
oct30056160400
98310082864
103233341696
11140a156522
12762a0a994
133c6b43850
142295c7744
1513dcd7281
hexc0b8e100

3233341696 has 72 divisors (see below), whose sum is σ = 7046260760. Its totient is φ = 1471758336.

The previous prime is 3233341693. The next prime is 3233341697. The reversal of 3233341696 is 6961433323.

It can be written as a sum of positive squares in 4 ways, for example, as 45158400 + 3188183296 = 6720^2 + 56464^2 .

It is not an unprimeable number, because it can be changed into a prime (3233341693) 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, 236290 + ... + 249598.

Almost surely, 23233341696 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 3233341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523130380).

3233341696 is an abundant number, since it is smaller than the sum of its proper divisors (3812919064).

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

3233341696 is a wasteful number, since it uses less digits than its factorization.

3233341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13411 (or 13397 counting only the distinct ones).

The product of its digits is 209952, while the sum is 40.

The square root of 3233341696 is about 56862.4805649560. The cubic root of 3233341696 is about 1478.7129204627.

The spelling of 3233341696 in words is "three billion, two hundred thirty-three million, three hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 256 292 416 584 832 949 1168 1664 1898 2336 3328 3796 4672 7592 9344 13309 15184 18688 26618 30368 53236 60736 106472 121472 173017 212944 242944 346034 425888 692068 851776 971557 1384136 1703552 1943114 2768272 3407104 3886228 5536544 7772456 11073088 12630241 15544912 22146176 25260482 31089824 44292352 50520964 62179648 101041928 124359296 202083856 248718592 404167712 808335424 1616670848 3233341696