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3323404640 = 255294316657
BaseRepresentation
bin1100011000010111…
…0010000101100000
322120121120110002202
43012011302011200
523301242422030
61305440032332
7145233321233
oct30605620540
98517513082
103323404640
111455a80106
127890026a8
1340c6b832a
1423754d41a
15146b77745
hexc6172160

3323404640 has 96 divisors (see below), whose sum is σ = 8311675680. Its totient is φ = 1253597184.

The previous prime is 3323404549. The next prime is 3323404649. The reversal of 3323404640 is 464043233.

It is a super-2 number, since 2×33234046402 = 22090036802347059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323404649) 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, 191192 + ... + 207848.

It is an arithmetic number, because the mean of its divisors is an integer number (86579955).

Almost surely, 23323404640 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 3323404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155837840).

3323404640 is an abundant number, since it is smaller than the sum of its proper divisors (4988271040).

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

3323404640 is a wasteful number, since it uses less digits than its factorization.

3323404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

The square root of 3323404640 is about 57648.9777879886. The cubic root of 3323404640 is about 1492.3169573891.

Adding to 3323404640 its reverse (464043233), we get a palindrome (3787447873).

The spelling of 3323404640 in words is "three billion, three hundred twenty-three million, four hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 43 58 80 86 116 145 160 172 215 232 290 344 430 464 580 688 860 928 1160 1247 1376 1720 2320 2494 3440 4640 4988 6235 6880 9976 12470 16657 19952 24940 33314 39904 49880 66628 83285 99760 133256 166570 199520 266512 333140 483053 533024 666280 716251 966106 1332560 1432502 1932212 2415265 2665120 2865004 3581255 3864424 4830530 5730008 7162510 7728848 9661060 11460016 14325020 15457696 19322120 20771279 22920032 28650040 38644240 41542558 57300080 77288480 83085116 103856395 114600160 166170232 207712790 332340464 415425580 664680928 830851160 1661702320 3323404640