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30269064 = 233733677
BaseRepresentation
bin111001101110…
…1111010001000
32002221211100110
41303131322020
530222102224
63000434320
7515166000
oct163357210
962854313
1030269064
11160a4661
12a1789a0
13636a5b7
14403d000
1529cd929
hex1cdde88

30269064 has 64 divisors (see below), whose sum is σ = 88272000. Its totient is φ = 8645952.

The previous prime is 30269047. The next prime is 30269089. The reversal of 30269064 is 46096203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6394 + ... + 10070.

It is an arithmetic number, because the mean of its divisors is an integer number (1379250).

Almost surely, 230269064 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 30269064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44136000).

30269064 is an abundant number, since it is smaller than the sum of its proper divisors (58002936).

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

30269064 is a wasteful number, since it uses less digits than its factorization.

30269064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 30269064 is about 5501.7328179402. The cubic root of 30269064 is about 311.6494254271.

It can be divided in two parts, 3026 and 9064, that added together give a triangular number (12090 = T155).

The spelling of 30269064 in words is "thirty million, two hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 3677 4116 7354 8232 11031 14708 22062 25739 29416 44124 51478 77217 88248 102956 154434 180173 205912 308868 360346 540519 617736 720692 1081038 1261211 1441384 2162076 2522422 3783633 4324152 5044844 7567266 10089688 15134532 30269064