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85340464 = 2411617949
BaseRepresentation
bin1010001011000…
…11000100110000
312221120202002221
411011203010300
5133321343324
612245050424
72054245006
oct505430460
9187522087
1085340464
1144199610
12246b6a14
13148b0121
14b496a76
15775b0e4
hex5163130

85340464 has 40 divisors (see below), whose sum is σ = 183358800. Its totient is φ = 38150400.

The previous prime is 85340449. The next prime is 85340473. The reversal of 85340464 is 46404358.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6762 + ... + 14710.

It is an arithmetic number, because the mean of its divisors is an integer number (4583970).

Almost surely, 285340464 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 85340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91679400).

85340464 is an abundant number, since it is smaller than the sum of its proper divisors (98018336).

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

85340464 is a wasteful number, since it uses less digits than its factorization.

85340464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 85340464 is about 9237.9902576264. The cubic root of 85340464 is about 440.2692291686.

The spelling of 85340464 in words is "eighty-five million, three hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 7949 10736 15898 31796 63592 87439 127184 174878 349756 484889 699512 969778 1399024 1939556 3879112 5333779 7758224 10667558 21335116 42670232 85340464