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3240406936 = 2313311099221
BaseRepresentation
bin1100000100100100…
…1010111110011000
322100211101201122201
43001021022332120
523114021010221
61253313055544
7143205001354
oct30111127630
98324351581
103240406936
111413141768
127652575b4
133c8448670
1422a506464
1513e730891
hexc124af98

3240406936 has 64 divisors (see below), whose sum is σ = 6816902400. Its totient is φ = 1433894400.

The previous prime is 3240406921. The next prime is 3240406951. The reversal of 3240406936 is 6396040423.

It is an interprime number because it is at equal distance from previous prime (3240406921) and next prime (3240406951).

It is a super-2 number, since 2×32404069362 = 21000474221753816192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3240406895 and 3240406904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346806 + ... + 356026.

It is an arithmetic number, because the mean of its divisors is an integer number (106514100).

Almost surely, 23240406936 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 3240406936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408451200).

3240406936 is an abundant number, since it is smaller than the sum of its proper divisors (3576495464).

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

3240406936 is a wasteful number, since it uses less digits than its factorization.

3240406936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9380 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 3240406936 is about 56924.5723391929. The cubic root of 3240406936 is about 1479.7891920343.

The spelling of 3240406936 in words is "three billion, two hundred forty million, four hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 109 124 218 248 403 436 806 872 1417 1612 2834 3224 3379 5668 6758 9221 11336 13516 18442 27032 36884 43927 73768 87854 119873 175708 239746 285851 351416 479492 571702 958984 1005089 1143404 2010178 2286808 3716063 4020356 7432126 8040712 13066157 14864252 26132314 29728504 31157759 52264628 62315518 104529256 124631036 249262072 405050867 810101734 1620203468 3240406936