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3376981816 = 23131271671531
BaseRepresentation
bin1100100101001000…
…1010011100111000
322201100101110011121
43021102022130320
523404001404231
61315032235024
7146453605015
oct31122123470
98640343147
103376981816
11148324446a
127a2b3ba74
1341a8269c0
142406d870c
1514b70c311
hexc948a738

3376981816 has 64 divisors (see below), whose sum is σ = 6918266880. Its totient is φ = 1536071040.

The previous prime is 3376981759. The next prime is 3376981837. The reversal of 3376981816 is 6181896733.

It is a super-3 number, since 3×33769818163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 2204971 + ... + 2206501.

It is an arithmetic number, because the mean of its divisors is an integer number (108097920).

Almost surely, 23376981816 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 3376981816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459133440).

3376981816 is an abundant number, since it is smaller than the sum of its proper divisors (3541285064).

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

3376981816 is a wasteful number, since it uses less digits than its factorization.

3376981816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 3376981816 is about 58111.8044462569. The cubic root of 3376981816 is about 1500.2935449209.

The spelling of 3376981816 in words is "three billion, three hundred seventy-six million, nine hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 127 167 254 334 508 668 1016 1336 1531 1651 2171 3062 3302 4342 6124 6604 8684 12248 13208 17368 19903 21209 39806 42418 79612 84836 159224 169672 194437 255677 275717 388874 511354 551434 777748 1022708 1102868 1555496 2045416 2205736 2527681 3323801 5055362 6647602 10110724 13295204 20221448 26590408 32470979 64941958 129883916 259767832 422122727 844245454 1688490908 3376981816