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3258401376 = 253614311291
BaseRepresentation
bin1100001000110111…
…0100001001100000
322102002020221101110
43002031310021200
523133122321001
61255154503320
7143513645316
oct30215641140
98362227343
103258401376
1114223121aa
1276b294b40
133cc0a8c69
1422ca6c0b6
151410d73d6
hexc2374260

3258401376 has 96 divisors (see below), whose sum is σ = 8720441856. Its totient is φ = 1065024000.

The previous prime is 3258401369. The next prime is 3258401387. The reversal of 3258401376 is 6731048523.

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

It is a super-4 number, since 4×32584013764 (a number of 39 digits) contains 4444 as substring.

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, 2523291 + ... + 2524581.

It is an arithmetic number, because the mean of its divisors is an integer number (90837936).

Almost surely, 23258401376 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 3258401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360220928).

3258401376 is an abundant number, since it is smaller than the sum of its proper divisors (5462040480).

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

3258401376 is a wasteful number, since it uses less digits than its factorization.

3258401376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3258401376 is about 57082.4086387391. The cubic root of 3258401376 is about 1482.5232971645.

Adding to 3258401376 its reverse (6731048523), we get a palindrome (9989449899).

The spelling of 3258401376 in words is "three billion, two hundred fifty-eight million, four hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 431 488 732 862 976 1291 1293 1464 1724 1952 2582 2586 2928 3448 3873 5164 5172 5856 6896 7746 10328 10344 13792 15492 20656 20688 26291 30984 41312 41376 52582 61968 78751 78873 105164 123936 157502 157746 210328 236253 315004 315492 420656 472506 556421 630008 630984 841312 945012 1112842 1260016 1261968 1669263 1890024 2225684 2520032 2523936 3338526 3780048 4451368 6677052 7560096 8902736 13354104 17805472 26708208 33941681 53416416 67883362 101825043 135766724 203650086 271533448 407300172 543066896 814600344 1086133792 1629200688 3258401376