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3240253536 = 253133836779
BaseRepresentation
bin1100000100100010…
…0101100001100000
322100211002221020020
43001020211201200
523114001103121
61253305513440
7143203462212
oct30110454140
98324087206
103240253536
111413047493
127651a2880
133c83c38b0
1422a4a65b2
1513e7001c6
hexc1225860

3240253536 has 96 divisors (see below), whose sum is σ = 9185218560. Its totient is φ = 994251264.

The previous prime is 3240253487. The next prime is 3240253537. The reversal of 3240253536 is 6353520423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3240253497 and 3240253506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240253537) 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, 474595 + ... + 481373.

It is an arithmetic number, because the mean of its divisors is an integer number (95679360).

Almost surely, 23240253536 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 3240253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592609280).

3240253536 is an abundant number, since it is smaller than the sum of its proper divisors (5944965024).

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

3240253536 is a wasteful number, since it uses less digits than its factorization.

3240253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

The square root of 3240253536 is about 56923.2249262109. The cubic root of 3240253536 is about 1479.7658407239.

Adding to 3240253536 its reverse (6353520423), we get a palindrome (9593773959).

The spelling of 3240253536 in words is "three billion, two hundred forty million, two hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 383 416 624 766 1149 1248 1532 2298 3064 4596 4979 6128 6779 9192 9958 12256 13558 14937 18384 19916 20337 27116 29874 36768 39832 40674 54232 59748 79664 81348 88127 108464 119496 159328 162696 176254 216928 238992 264381 325392 352508 477984 528762 650784 705016 1057524 1410032 2115048 2596357 2820064 4230096 5192714 7789071 8460192 10385428 15578142 20770856 31156284 33752641 41541712 62312568 67505282 83083424 101257923 124625136 135010564 202515846 249250272 270021128 405031692 540042256 810063384 1080084512 1620126768 3240253536