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314157852 = 22342394057
BaseRepresentation
bin10010101110011…
…010101100011100
3210220010212120000
4102232122230130
51120411022402
651101254300
710533204051
oct2256325434
9726125500
10314157852
11151374498
1289264390
1350117028
142da1b028
151c8a8c1c
hex12b9ab1c

314157852 has 60 divisors (see below), whose sum is σ = 824910240. Its totient is φ = 104255424.

The previous prime is 314157839. The next prime is 314157853. The reversal of 314157852 is 258751413.

314157852 is a `hidden beast` number, since 31 + 4 + 1 + 578 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314157853) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75408 + ... + 79464.

It is an arithmetic number, because the mean of its divisors is an integer number (13748504).

Almost surely, 2314157852 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 314157852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412455120).

314157852 is an abundant number, since it is smaller than the sum of its proper divisors (510752388).

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

314157852 is a wasteful number, since it uses less digits than its factorization.

314157852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4301 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 314157852 is about 17724.4986388896. The cubic root of 314157852 is about 679.8023156620.

The spelling of 314157852 in words is "three hundred fourteen million, one hundred fifty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 324 478 717 956 1434 2151 2868 4057 4302 6453 8114 8604 12171 12906 16228 19359 24342 25812 36513 38718 48684 73026 77436 109539 146052 219078 328617 438156 657234 969623 1314468 1939246 2908869 3878492 5817738 8726607 11635476 17453214 26179821 34906428 52359642 78539463 104719284 157078926 314157852