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416347412 = 221367311897
BaseRepresentation
bin11000110100001…
…111010100010100
31002000102122021112
4120310033110110
51323041104122
6105151434152
713213615565
oct3064172424
91060378245
10416347412
111a4020a78
12b7525958
1368346320
143d41c16c
15268422e2
hex18d0f514

416347412 has 24 divisors (see below), whose sum is σ = 785886696. Its totient is φ = 191858688.

The previous prime is 416347411. The next prime is 416347417. The reversal of 416347412 is 214743614.

It can be written as a sum of positive squares in 4 ways, for example, as 83795716 + 332551696 = 9154^2 + 18236^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416347411) 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 7 ways as a sum of consecutive naturals, for example, 29048 + ... + 40944.

It is an arithmetic number, because the mean of its divisors is an integer number (32745279).

Almost surely, 2416347412 is an apocalyptic number.

It is an amenable number.

416347412 is a deficient number, since it is larger than the sum of its proper divisors (369539284).

416347412 is a wasteful number, since it uses less digits than its factorization.

416347412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12587 (or 12585 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 416347412 is about 20404.5929143416. The cubic root of 416347412 is about 746.7099811005.

The spelling of 416347412 in words is "four hundred sixteen million, three hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 4 13 26 52 673 1346 2692 8749 11897 17498 23794 34996 47588 154661 309322 618644 8006681 16013362 32026724 104086853 208173706 416347412