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3491884116 = 2232717247947
BaseRepresentation
bin1101000000100001…
…1110110001010100
3100000100121002111100
43100020132301110
524122410242431
61334255110100
7152350345110
oct32010366124
910010532440
103491884116
111532094246
12815512330
13438587526
14251a88740
151568574e6
hexd021ec54

3491884116 has 108 divisors (see below), whose sum is σ = 10716186208. Its totient is φ = 938974464.

The previous prime is 3491884103. The next prime is 3491884147. The reversal of 3491884116 is 6114881943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48855 + ... + 96801.

Almost surely, 23491884116 is an apocalyptic number.

3491884116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3491884116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358093104).

3491884116 is an abundant number, since it is smaller than the sum of its proper divisors (7224302092).

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

3491884116 is a wasteful number, since it uses less digits than its factorization.

3491884116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47998 (or 47976 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 3491884116 is about 59092.1662828500. The cubic root of 3491884116 is about 1517.1200251158.

The spelling of 3491884116 in words is "three billion, four hundred ninety-one million, eight hundred eighty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1071 1156 1428 1734 2023 2142 2601 3468 4046 4284 5202 6069 8092 10404 12138 18207 24276 36414 47947 72828 95894 143841 191788 287682 335629 431523 575364 671258 815099 863046 1006887 1342516 1630198 1726092 2013774 2445297 3020661 3260396 4027548 4890594 5705693 6041322 7335891 9781188 11411386 12082644 13856683 14671782 17117079 22822772 27713366 29343564 34234158 41570049 51351237 55426732 68468316 83140098 96996781 102702474 124710147 166280196 193993562 205404948 249420294 290990343 387987124 498840588 581980686 872971029 1163961372 1745942058 3491884116