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3464064 = 27323197
BaseRepresentation
bin1101001101101110000000
320111222210200
431031232000
51341322224
6202125200
741305212
oct15155600
96458720
103464064
111a5666a
1211b0800
13943956
146625b2
154865c9
hex34db80

3464064 has 96 divisors (see below), whose sum is σ = 10395840. Its totient is φ = 1105920.

The previous prime is 3464057. The next prime is 3464093. The reversal of 3464064 is 4604643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35664 + ... + 35760.

It is an arithmetic number, because the mean of its divisors is an integer number (108290).

Almost surely, 23464064 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 3464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

3464064 is an abundant number, since it is smaller than the sum of its proper divisors (6931776).

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

3464064 is a wasteful number, since it uses less digits than its factorization.

3464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3464064 is about 1861.1996131528. The cubic root of 3464064 is about 151.3080272761.

The spelling of 3464064 in words is "three million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 97 124 128 144 186 192 194 248 279 288 291 372 384 388 496 558 576 582 744 776 873 992 1116 1152 1164 1488 1552 1746 1984 2232 2328 2976 3007 3104 3492 3968 4464 4656 5952 6014 6208 6984 8928 9021 9312 11904 12028 12416 13968 17856 18042 18624 24056 27063 27936 35712 36084 37248 48112 54126 55872 72168 96224 108252 111744 144336 192448 216504 288672 384896 433008 577344 866016 1154688 1732032 3464064