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414122676 = 2231131101203
BaseRepresentation
bin11000101011110…
…000001010110100
31001212020121111220
4120223300022310
51322003411201
6105032030340
713155661512
oct3053601264
91055217456
10414122676
111a2841550
12b68323b0
1367a47806
143cddd4b2
1526553036
hex18af02b4

414122676 has 48 divisors (see below), whose sum is σ = 1088145408. Its totient is φ = 121442400.

The previous prime is 414122663. The next prime is 414122701. The reversal of 414122676 is 676221414.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 46510 + ... + 54693.

It is an arithmetic number, because the mean of its divisors is an integer number (22669696).

Almost surely, 2414122676 is an apocalyptic number.

It is an amenable number.

414122676 is an abundant number, since it is smaller than the sum of its proper divisors (674022732).

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

414122676 is a wasteful number, since it uses less digits than its factorization.

414122676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101252 (or 101250 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 414122676 is about 20350.0043243239. The cubic root of 414122676 is about 745.3775999736.

The spelling of 414122676 in words is "four hundred fourteen million, one hundred twenty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 101203 202406 303609 404812 607218 1113233 1214436 2226466 3137293 3339699 4452932 6274586 6679398 9411879 12549172 13358796 18823758 34510223 37647516 69020446 103530669 138040892 207061338 414122676