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30849312 = 25313191301
BaseRepresentation
bin111010110101…
…1100100100000
32011001022022010
41311223210200
530344134222
63021112520
7523133454
oct165534440
964038263
1030849312
11164605aa
12a3b8740
136511740
144150664
152a9580c
hex1d6b920

30849312 has 96 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 8985600.

The previous prime is 30849311. The next prime is 30849319. The reversal of 30849312 is 21394803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30849312.

It is not an unprimeable number, because it can be changed into a prime (30849311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23062 + ... + 24362.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 230849312 is an apocalyptic number.

30849312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

30849312 is an abundant number, since it is smaller than the sum of its proper divisors (61019808).

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

30849312 is a wasteful number, since it uses less digits than its factorization.

30849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30849312 is about 5554.2156962077. The cubic root of 30849312 is about 313.6282400294.

It can be divided in two parts, 308493 and 12, that added together give a triangular number (308505 = T785).

The spelling of 30849312 in words is "thirty million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1301 1482 1824 1976 2602 2964 3903 3952 5204 5928 7806 7904 10408 11856 15612 16913 20816 23712 24719 31224 33826 41632 49438 50739 62448 67652 74157 98876 101478 124896 135304 148314 197752 202956 270608 296628 321347 395504 405912 541216 593256 642694 791008 811824 964041 1186512 1285388 1623648 1928082 2373024 2570776 3856164 5141552 7712328 10283104 15424656 30849312