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30316416 = 273136073
BaseRepresentation
bin111001110100…
…1011110000000
32010001020022020
41303221132000
530230111131
63001441440
7515454024
oct163513600
963036266
1030316416
1116127199
12a1a0280
136386010
144052384
1529dc996
hex1ce9780

30316416 has 64 divisors (see below), whose sum is σ = 86736720. Its totient is φ = 9326592.

The previous prime is 30316411. The next prime is 30316439. The reversal of 30316416 is 61461303.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30316411) 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, 1956 + ... + 8028.

Almost surely, 230316416 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 30316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43368360).

30316416 is an abundant number, since it is smaller than the sum of its proper divisors (56420304).

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

30316416 is a wasteful number, since it uses less digits than its factorization.

30316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30316416 is about 5506.0345077015. The cubic root of 30316416 is about 311.8118523747.

Adding to 30316416 its reverse (61461303), we get a palindrome (91777719).

The spelling of 30316416 in words is "thirty million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6073 12146 18219 24292 36438 48584 72876 78949 97168 145752 157898 194336 236847 291504 315796 388672 473694 583008 631592 777344 947388 1166016 1263184 1894776 2332032 2526368 3789552 5052736 7579104 10105472 15158208 30316416