Search a number
-
+
3416413416 = 233132842311
BaseRepresentation
bin1100101110100010…
…0101010011101000
322211002120210011020
43023220211103220
523444100212131
61323001332440
7150443014653
oct31350452350
98732523136
103416413416
1114a3526a69
127b4197120
13425a51900
14245a4089a
1514edea996
hexcba254e8

3416413416 has 48 divisors (see below), whose sum is σ = 9248585760. Its totient is φ = 1051202880.

The previous prime is 3416413393. The next prime is 3416413421. The reversal of 3416413416 is 6143146143.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417100 + ... + 425211.

It is an arithmetic number, because the mean of its divisors is an integer number (192678870).

Almost surely, 23416413416 is an apocalyptic number.

It is an amenable number.

3416413416 is an abundant number, since it is smaller than the sum of its proper divisors (5832172344).

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

3416413416 is a wasteful number, since it uses less digits than its factorization.

3416413416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842346 (or 842329 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3416413416 is about 58450.0933788818. The cubic root of 3416413416 is about 1506.1103957986.

Adding to 3416413416 its reverse (6143146143), we get a palindrome (9559559559).

The spelling of 3416413416 in words is "three billion, four hundred sixteen million, four hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 842311 1684622 2526933 3369244 5053866 6738488 10107732 10950043 20215464 21900086 32850129 43800172 65700258 87600344 131400516 142350559 262801032 284701118 427051677 569402236 854103354 1138804472 1708206708 3416413416