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416339341 = 11229592011
BaseRepresentation
bin11000110100001…
…101010110001101
31002000102020012121
4120310031112031
51323040324331
6105151332541
713213553215
oct3064152615
91060366177
10416339341
111a4015a00
12b7521151
1368342752
143d419245
152683ec11
hex18d0d58d

416339341 has 24 divisors (see below), whose sum is σ = 481672800. Its totient is φ = 359066400.

The previous prime is 416339263. The next prime is 416339359. The reversal of 416339341 is 143933614.

It is not a de Polignac number, because 416339341 - 217 = 416208269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416339297 and 416339306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416339941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206026 + ... + 208036.

It is an arithmetic number, because the mean of its divisors is an integer number (20069700).

Almost surely, 2416339341 is an apocalyptic number.

It is an amenable number.

416339341 is a deficient number, since it is larger than the sum of its proper divisors (65333459).

416339341 is a wasteful number, since it uses less digits than its factorization.

416339341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2110 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 416339341 is about 20404.3951392831. The cubic root of 416339341 is about 746.7051560153.

The spelling of 416339341 in words is "four hundred sixteen million, three hundred thirty-nine thousand, three hundred forty-one".

Divisors: 1 11 29 59 121 319 649 1711 2011 3509 7139 18821 22121 58319 118649 207031 243331 641509 1305139 3440821 7056599 14356529 37849031 416339341