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30146064 = 2431348311
BaseRepresentation
bin111001011111…
…1111000010000
32002201120121220
41302333320100
530204133224
62554045040
7514144254
oct162777020
962646556
1030146064
1116020203
12a119780
136326610
14400a264
1529a7279
hex1cbfe10

30146064 has 40 divisors (see below), whose sum is σ = 83869632. Its totient is φ = 9275520.

The previous prime is 30146063. The next prime is 30146069. The reversal of 30146064 is 46064103.

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 (30146063) 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, 23532 + ... + 24779.

Almost surely, 230146064 is an apocalyptic number.

It is an amenable number.

30146064 is an abundant number, since it is smaller than the sum of its proper divisors (53723568).

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

30146064 is a wasteful number, since it uses less digits than its factorization.

30146064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48335 (or 48329 counting only the distinct ones).

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

The square root of 30146064 is about 5490.5431425315. The cubic root of 30146064 is about 311.2267175049.

The spelling of 30146064 in words is "thirty million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 48311 96622 144933 193244 289866 386488 579732 628043 772976 1159464 1256086 1884129 2318928 2512172 3768258 5024344 7536516 10048688 15073032 30146064