Search a number
-
+
314769408 = 21631601
BaseRepresentation
bin10010110000110…
…000000000000000
3210221021221110020
4102300300000000
51121040110113
651122333440
710541332032
oct2260600000
9727257406
10314769408
11151751a08
12894ba280
135029c4b5
142db39c52
151c97a023
hex12c30000

314769408 has 68 divisors (see below), whose sum is σ = 839902968. Its totient is φ = 104857600.

The previous prime is 314769407. The next prime is 314769461. The reversal of 314769408 is 804967413.

It is a self number, because there is not a number n which added to its sum of digits gives 314769408.

It is not an unprimeable number, because it can be changed into a prime (314769401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195808 + ... + 197408.

Almost surely, 2314769408 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 314769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419951484).

314769408 is an abundant number, since it is smaller than the sum of its proper divisors (525133560).

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

314769408 is an frugal number, since it uses more digits than its factorization.

314769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 314769408 is about 17741.7419663346. The cubic root of 314769408 is about 680.2431425780.

The spelling of 314769408 in words is "three hundred fourteen million, seven hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1601 2048 3072 3202 4096 4803 6144 6404 8192 9606 12288 12808 16384 19212 24576 25616 32768 38424 49152 51232 65536 76848 98304 102464 153696 196608 204928 307392 409856 614784 819712 1229568 1639424 2459136 3278848 4918272 6557696 9836544 13115392 19673088 26230784 39346176 52461568 78692352 104923136 157384704 314769408