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30416064 = 263725361
BaseRepresentation
bin111010000000…
…1110011000000
32010020021222220
41310001303000
530241303224
63003531040
7516350400
oct164016300
963207886
1030416064
1116195048
12a229a80
1363bc493
14407a800
152a0c279
hex1d01cc0

30416064 has 168 divisors, whose sum is σ = 96944688. Its totient is φ = 8386560.

The previous prime is 30416063. The next prime is 30416129. The reversal of 30416064 is 46061403.

30416064 = T91 + T92 + ... + T567.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30416063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498594 + ... + 498654.

Almost surely, 230416064 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 30416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48472344).

30416064 is an abundant number, since it is smaller than the sum of its proper divisors (66528624).

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

30416064 is a wasteful number, since it uses less digits than its factorization.

30416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30416064 is about 5515.0760647520. The cubic root of 30416064 is about 312.1531135391.

Adding to 30416064 its reverse (46061403), we get a palindrome (76477467).

The spelling of 30416064 in words is "thirty million, four hundred sixteen thousand, sixty-four".