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3234404640 = 253547307467
BaseRepresentation
bin1100000011001001…
…0001100100100000
322100102002210001110
43000302101210200
523111001422030
61252540303320
7143102662065
oct30062214440
98312083043
103234404640
11140a812095
12763241b40
133c71265cc
142297c2c6c
1513de471b0
hexc0c91920

3234404640 has 192 divisors, whose sum is σ = 10461394944. Its totient is φ = 839605248.

The previous prime is 3234404639. The next prime is 3234404651. The reversal of 3234404640 is 464044323.

It is a super-2 number, since 2×32344046402 = 20922746750507059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3234404598 and 3234404607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6925687 + ... + 6926153.

It is an arithmetic number, because the mean of its divisors is an integer number (54486432).

Almost surely, 23234404640 is an apocalyptic number.

3234404640 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 3234404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230697472).

3234404640 is an abundant number, since it is smaller than the sum of its proper divisors (7226990304).

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

3234404640 is a wasteful number, since it uses less digits than its factorization.

3234404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3234404640 is about 56871.8264169527. The cubic root of 3234404640 is about 1478.8749423961.

Adding to 3234404640 its reverse (464044323), we get a palindrome (3698448963).

The spelling of 3234404640 in words is "three billion, two hundred thirty-four million, four hundred four thousand, six hundred forty".