Search a number
-
+
3414033144 = 2333101915511
BaseRepresentation
bin1100101101111110…
…0000001011111000
322210221002212001000
43023133200023320
523442443030034
61322434325000
7150413542254
oct31337401370
98727085030
103414033144
1114a21506a5
127b3429760
134253ca372
142455c1264
1514eaca599
hexcb7e02f8

3414033144 has 64 divisors (see below), whose sum is σ = 9493344000. Its totient is φ = 1136820960.

The previous prime is 3414033113. The next prime is 3414033151. The reversal of 3414033144 is 4413304143.

3414033144 is a `hidden beast` number, since 341 + 4 + 0 + 3 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212349 + ... + 227859.

It is an arithmetic number, because the mean of its divisors is an integer number (148333500).

Almost surely, 23414033144 is an apocalyptic number.

It is an amenable number.

3414033144 is an abundant number, since it is smaller than the sum of its proper divisors (6079310856).

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

3414033144 is a wasteful number, since it uses less digits than its factorization.

3414033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16545 (or 16535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3414033144 is about 58429.7282554009. The cubic root of 3414033144 is about 1505.7605371550.

Adding to 3414033144 its reverse (4413304143), we get a palindrome (7827337287).

The spelling of 3414033144 in words is "three billion, four hundred fourteen million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1019 2038 3057 4076 6114 8152 9171 12228 15511 18342 24456 27513 31022 36684 46533 55026 62044 73368 93066 110052 124088 139599 186132 220104 279198 372264 418797 558396 837594 1116792 1675188 3350376 15805709 31611418 47417127 63222836 94834254 126445672 142251381 189668508 284502762 379337016 426754143 569005524 853508286 1138011048 1707016572 3414033144