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428681334 = 23377924443
BaseRepresentation
bin11001100011010…
…010100001110110
31002212122021020110
4121203102201312
51334220300314
6110312043450
713423505544
oct3143224166
91085567213
10428681334
111aaa856a4
12bb693586
136aa742c3
1440d0cd94
152797ba59
hex198d2876

428681334 has 32 divisors (see below), whose sum is σ = 891717120. Its totient is φ = 137266272.

The previous prime is 428681329. The next prime is 428681339. The reversal of 428681334 is 433186824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428681329) and next prime (428681339).

It is a super-3 number, since 3×4286813343 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 428681292 and 428681301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428681339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5317 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (27866160).

Almost surely, 2428681334 is an apocalyptic number.

428681334 is an abundant number, since it is smaller than the sum of its proper divisors (463035786).

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

428681334 is a wasteful number, since it uses less digits than its factorization.

428681334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24564.

The product of its digits is 110592, while the sum is 39.

The square root of 428681334 is about 20704.6210783970. The cubic root of 428681334 is about 754.0118845559.

The spelling of 428681334 in words is "four hundred twenty-eight million, six hundred eighty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 37 74 79 111 158 222 237 474 2923 5846 8769 17538 24443 48886 73329 146658 904391 1808782 1930997 2713173 3861994 5426346 5792991 11585982 71446889 142893778 214340667 428681334