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3212030640 = 2435713612411
BaseRepresentation
bin1011111101110011…
…1011001010110000
322021212000001200210
42333130323022300
523034234440030
61250420544120
7142411544550
oct27734731260
98255001623
103212030640
1113a9120185
12757852040
133c25c1760
1422683b160
1513bec7bb0
hexbf73b2b0

3212030640 has 320 divisors, whose sum is σ = 12461202432. Its totient is φ = 666316800.

The previous prime is 3212030629. The next prime is 3212030663. The reversal of 3212030640 is 460302123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331035 + ... + 1333445.

Almost surely, 23212030640 is an apocalyptic number.

3212030640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230601216).

3212030640 is an abundant number, since it is smaller than the sum of its proper divisors (9249171792).

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

3212030640 is a wasteful number, since it uses less digits than its factorization.

3212030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3212030640 is about 56674.7795761042. The cubic root of 3212030640 is about 1475.4570090145.

Adding to 3212030640 its reverse (460302123), we get a palindrome (3672332763).

The spelling of 3212030640 in words is "three billion, two hundred twelve million, thirty thousand, six hundred forty".