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3401982486 = 2327223672503
BaseRepresentation
bin1100101011000110…
…0010001000010110
322210002102121122100
43022301202020112
523431401414421
61321324142530
7150206242200
oct31261421026
98702377570
103401982486
11149636a881
127ab397a46
13422a6b2b6
14243b65770
1514d9e9c26
hexcac62216

3401982486 has 144 divisors (see below), whose sum is σ = 9084351744. Its totient is φ = 915491808.

The previous prime is 3401982481. The next prime is 3401982487. The reversal of 3401982486 is 6842891043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401982481) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1357911 + ... + 1360413.

It is an arithmetic number, because the mean of its divisors is an integer number (63085776).

Almost surely, 23401982486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401982486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542175872).

3401982486 is an abundant number, since it is smaller than the sum of its proper divisors (5682369258).

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

3401982486 is a wasteful number, since it uses less digits than its factorization.

3401982486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3401982486 is about 58326.5161483180. The cubic root of 3401982486 is about 1503.9867995649.

The spelling of 3401982486 in words is "three billion, four hundred one million, nine hundred eighty-two thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 67 69 98 126 134 138 147 161 201 207 294 322 402 414 441 469 483 603 882 938 966 1127 1206 1407 1449 1541 2254 2503 2814 2898 3082 3283 3381 4221 4623 5006 6566 6762 7509 8442 9246 9849 10143 10787 13869 15018 17521 19698 20286 21574 22527 27738 29547 32361 35042 45054 52563 57569 59094 64722 75509 97083 105126 115138 122647 151018 157689 167701 172707 194166 226527 245294 315378 335402 345414 367941 402983 453054 503103 518121 679581 735882 805966 1006206 1036242 1103823 1173907 1208949 1359162 1509309 2207646 2347814 2417898 2820881 3018618 3521721 3626847 3857123 5641762 7043442 7253694 7714246 8217349 8462643 10565163 11571369 16434698 16925286 21130326 23142738 24652047 25387929 26999861 34714107 49304094 50775858 53999722 69428214 73956141 80999583 147912282 161999166 188999027 242998749 377998054 485997498 566997081 1133994162 1700991243 3401982486