Search a number
-
+
392996304 = 243219239601
BaseRepresentation
bin10111011011001…
…010010111010000
31000101111021120200
4113123022113100
51301101340204
6102555135200
712511261551
oct2733122720
91011437520
10392996304
11191921a38
12ab744500
136355b7bc
143a2a0328
152477d539
hex176ca5d0

392996304 has 120 divisors (see below), whose sum is σ = 1164508800. Its totient is φ = 123379200.

The previous prime is 392996287. The next prime is 392996309. The reversal of 392996304 is 403699293.

392996304 is a `hidden beast` number, since 3 + 9 + 2 + 9 + 9 + 630 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 392996304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392996309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653604 + ... + 654204.

It is an arithmetic number, because the mean of its divisors is an integer number (9704240).

Almost surely, 2392996304 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 392996304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582254400).

392996304 is an abundant number, since it is smaller than the sum of its proper divisors (771512496).

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

392996304 is a wasteful number, since it uses less digits than its factorization.

392996304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 392996304 is about 19824.1343821111. The cubic root of 392996304 is about 732.4806482247.

The spelling of 392996304 in words is "three hundred ninety-two million, nine hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 239 304 342 456 478 601 684 717 912 956 1202 1368 1434 1803 1912 2151 2404 2736 2868 3606 3824 4302 4541 4808 5409 5736 7212 8604 9082 9616 10818 11419 11472 13623 14424 17208 18164 21636 22838 27246 28848 34257 34416 36328 40869 43272 45676 54492 68514 72656 81738 86544 91352 102771 108984 137028 143639 163476 182704 205542 217968 274056 287278 326952 411084 430917 548112 574556 653904 822168 861834 1149112 1292751 1644336 1723668 2298224 2585502 2729141 3447336 5171004 5458282 6894672 8187423 10342008 10916564 16374846 20684016 21833128 24562269 32749692 43666256 49124538 65499384 98249076 130998768 196498152 392996304