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413943816 = 23311131031171
BaseRepresentation
bin11000101011000…
…100100000001000
31001211220112011110
4120223010200020
51321432200231
6105024130320
713154315166
oct3053044010
91054815143
10413943816
111a272a130
12b67669a0
13679b4290
143cd94236
152651a046
hex18ac4808

413943816 has 128 divisors (see below), whose sum is σ = 1228631040. Its totient is φ = 114566400.

The previous prime is 413943797. The next prime is 413943841. The reversal of 413943816 is 618349314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352911 + ... + 354081.

It is an arithmetic number, because the mean of its divisors is an integer number (9598680).

Almost surely, 2413943816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413943816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614315520).

413943816 is an abundant number, since it is smaller than the sum of its proper divisors (814687224).

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

413943816 is a wasteful number, since it uses less digits than its factorization.

413943816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 413943816 is about 20345.6092560533. The cubic root of 413943816 is about 745.2702747426.

The spelling of 413943816 in words is "four hundred thirteen million, nine hundred forty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 103 104 132 143 156 206 264 286 309 312 412 429 572 618 824 858 1133 1144 1171 1236 1339 1716 2266 2342 2472 2678 3399 3432 3513 4017 4532 4684 5356 6798 7026 8034 9064 9368 10712 12881 13596 14052 14729 15223 16068 25762 27192 28104 29458 30446 32136 38643 44187 45669 51524 58916 60892 77286 88374 91338 103048 117832 120613 121784 154572 167453 176748 182676 241226 309144 334906 353496 361839 365352 482452 502359 669812 723678 964904 1004718 1326743 1339624 1447356 1567969 2009436 2653486 2894712 3135938 3980229 4018872 4703907 5306972 6271876 7960458 9407814 10613944 12543752 15920916 17247659 18815628 31841832 34495318 37631256 51742977 68990636 103485954 137981272 206971908 413943816