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3240401376 = 253711992389
BaseRepresentation
bin1100000100100100…
…1001100111100000
322100211101110000210
43001021021213200
523114020321001
61253313014120
7143204646222
oct30111114740
98324343023
103240401376
111413138573
12765254340
133c8445c84
1422a504412
1513e72ddd6
hexc12499e0

3240401376 has 96 divisors (see below), whose sum is σ = 8672832000. Its totient is φ = 1059125760.

The previous prime is 3240401371. The next prime is 3240401383. The reversal of 3240401376 is 6731040423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240401371) 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, 1355190 + ... + 1357578.

It is an arithmetic number, because the mean of its divisors is an integer number (90342000).

Almost surely, 23240401376 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 3240401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336416000).

3240401376 is an abundant number, since it is smaller than the sum of its proper divisors (5432430624).

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

3240401376 is a wasteful number, since it uses less digits than its factorization.

3240401376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3240401376 is about 56924.5235026170. The cubic root of 3240401376 is about 1479.7883456763.

Adding to 3240401376 its reverse (6731040423), we get a palindrome (9971441799).

The spelling of 3240401376 in words is "three billion, two hundred forty million, four hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 199 213 284 398 426 568 597 796 852 1136 1194 1592 1704 2272 2388 2389 3184 3408 4776 4778 6368 6816 7167 9552 9556 14129 14334 19104 19112 28258 28668 38224 42387 56516 57336 76448 84774 113032 114672 169548 169619 226064 229344 339096 339238 452128 475411 508857 678192 678476 950822 1017714 1356384 1356952 1426233 1901644 2035428 2713904 2852466 3803288 4070856 5427808 5704932 7606576 8141712 11409864 15213152 16283424 22819728 33754181 45639456 67508362 101262543 135016724 202525086 270033448 405050172 540066896 810100344 1080133792 1620200688 3240401376