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30514464 = 2532105953
BaseRepresentation
bin111010001100…
…1110100100000
32010102021222100
41310121310200
530302430324
63010010400
7520240311
oct164316440
963367870
1030514464
1116251a72
12a276a00
1364251c6
1440a4608
152a2b4c9
hex1d19d20

30514464 has 36 divisors (see below), whose sum is σ = 86776326. Its totient is φ = 10171392.

The previous prime is 30514459. The next prime is 30514481. The reversal of 30514464 is 46441503.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 176400 = 5508^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×305144642 = 1862265026414592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52689 + ... + 53264.

Almost surely, 230514464 is an apocalyptic number.

It is an amenable number.

30514464 is an abundant number, since it is smaller than the sum of its proper divisors (56261862).

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

30514464 is a wasteful number, since it uses less digits than its factorization.

30514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105969 (or 105958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30514464 is about 5523.9898624092. The cubic root of 30514464 is about 312.4893700918.

Adding to 30514464 its reverse (46441503), we get a palindrome (76955967).

The spelling of 30514464 in words is "thirty million, five hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 105953 211906 317859 423812 635718 847624 953577 1271436 1695248 1907154 2542872 3390496 3814308 5085744 7628616 10171488 15257232 30514464