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30246464 = 263753241
BaseRepresentation
bin111001101100…
…0011001000000
32002220200100102
41303120121000
530220341324
63000141532
7515043053
oct163303100
962820312
1030246464
1116089686
12a1678a8
136360221
144034a9a
1529c6dae
hex1cd8640

30246464 has 56 divisors (see below), whose sum is σ = 63066168. Its totient is φ = 14376960.

The previous prime is 30246457. The next prime is 30246467. The reversal of 30246464 is 46464203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 12673600 = 4192^2 + 3560^2 .

It is not an unprimeable number, because it can be changed into a prime (30246467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125384 + ... + 125624.

Almost surely, 230246464 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 30246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533084).

30246464 is an abundant number, since it is smaller than the sum of its proper divisors (32819704).

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

30246464 is a wasteful number, since it uses less digits than its factorization.

30246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 30246464 is about 5499.6785360601. The cubic root of 30246464 is about 311.5718431287.

The spelling of 30246464 in words is "thirty million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 148 212 241 296 424 482 592 848 964 1184 1696 1928 1961 2368 3392 3856 3922 7712 7844 8917 12773 15424 15688 17834 25546 31376 35668 51092 62752 71336 102184 125504 142672 204368 285344 408736 472601 570688 817472 945202 1890404 3780808 7561616 15123232 30246464