Search a number
-
+
305164672 = 275344983
BaseRepresentation
bin10010001100000…
…111000110000000
3210021012222020021
4102030013012000
51111110232142
650140423224
710363566631
oct2214070600
9707188207
10305164672
1114729180a
1286247b14
134b2b8817
142c759888
151bbce267
hex12307180

305164672 has 32 divisors (see below), whose sum is σ = 619429680. Its totient is φ = 149700096.

The previous prime is 305164663. The next prime is 305164703. The reversal of 305164672 is 276461503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15708 + ... + 29275.

Almost surely, 2305164672 is an apocalyptic number.

305164672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305164672 is an abundant number, since it is smaller than the sum of its proper divisors (314265008).

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

305164672 is an equidigital number, since it uses as much as digits as its factorization.

305164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45050 (or 45038 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 305164672 is about 17468.9631060347. The cubic root of 305164672 is about 673.2526710114.

The spelling of 305164672 in words is "three hundred five million, one hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 44983 89966 179932 359864 719728 1439456 2384099 2878912 4768198 5757824 9536396 19072792 38145584 76291168 152582336 305164672