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3381384258 = 233727011823
BaseRepresentation
bin1100100110001011…
…1101010001000010
322201122200010012000
43021202331101002
523411113244013
61315310444430
7146536202100
oct31142752102
98648603160
103381384258
11148578104a
127a4503716
1341b7087b5
14241122c70
1514bccb973
hexc98bd442

3381384258 has 96 divisors (see below), whose sum is σ = 8758264320. Its totient is φ = 964202400.

The previous prime is 3381384247. The next prime is 3381384263. The reversal of 3381384258 is 8524831833.

It is a super-2 number, since 2×33813842582 = 22867519000500421128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853935 + ... + 1855757.

It is an arithmetic number, because the mean of its divisors is an integer number (91231920).

Almost surely, 23381384258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381384258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379132160).

3381384258 is an abundant number, since it is smaller than the sum of its proper divisors (5376880062).

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

3381384258 is a wasteful number, since it uses less digits than its factorization.

3381384258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2536 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3381384258 is about 58149.6711770583. The cubic root of 3381384258 is about 1500.9452202473.

The spelling of 3381384258 in words is "three billion, three hundred eighty-one million, three hundred eighty-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 701 882 1323 1402 1823 2103 2646 3646 4206 4907 5469 6309 9814 10938 12618 12761 14721 16407 18927 25522 29442 32814 34349 37854 38283 44163 49221 68698 76566 88326 89327 98442 103047 114849 132489 178654 206094 229698 264978 267981 309141 344547 535962 618282 689094 803943 927423 1277923 1607886 1854846 2411829 2555846 3833769 4823658 7667538 8945461 11501307 17890922 23002614 26836383 34503921 53672766 62618227 69007842 80509149 125236454 161018298 187854681 241527447 375709362 483054894 563564043 1127128086 1690692129 3381384258