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3242488704 = 27371392791
BaseRepresentation
bin1100000101000100…
…0111001110000000
322100222022111022020
43001101013032000
523120034114304
61253425441440
7143231461560
oct30121071600
98328274266
103242488704
111414333834
12765aa0280
133c89c7090
1422a8c8da0
1513e9e25d9
hexc1447380

3242488704 has 128 divisors (see below), whose sum is σ = 10600558080. Its totient is φ = 855152640.

The previous prime is 3242488703. The next prime is 3242488759. The reversal of 3242488704 is 4078842423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242488703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11452 + ... + 81339.

It is an arithmetic number, because the mean of its divisors is an integer number (82816860).

Almost surely, 23242488704 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 3242488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300279040).

3242488704 is an abundant number, since it is smaller than the sum of its proper divisors (7358069376).

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

3242488704 is a wasteful number, since it uses less digits than its factorization.

3242488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92828 (or 92816 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 3242488704 is about 56942.8547229589. The cubic root of 3242488704 is about 1480.1060162673.

The spelling of 3242488704 in words is "three billion, two hundred forty-two million, four hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 92791 185582 278373 371164 556746 649537 742328 1113492 1206283 1299074 1484656 1948611 2226984 2412566 2598148 2969312 3618849 3897222 4453968 4825132 5196296 5938624 7237698 7794444 8443981 8907936 9650264 10392592 11877248 14475396 15588888 16887962 17815872 19300528 20785184 25331943 28950792 31177776 33775924 35631744 38601056 41570368 50663886 57901584 62355552 67551848 77202112 83140736 101327772 115803168 124711104 135103696 154404224 202655544 231606336 249422208 270207392 405311088 463212672 540414784 810622176 1080829568 1621244352 3242488704