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249970340 = 22527745121
BaseRepresentation
bin11101110011000…
…11111010100100
3122102100210211202
432321203322210
51002443022330
640445422032
76123466334
oct1671437244
9572323752
10249970340
11119113464
126b86a918
133ca32059
14252ad0c4
1516e2a445
hexee63ea4

249970340 has 24 divisors (see below), whose sum is σ = 526844472. Its totient is φ = 99624960.

The previous prime is 249970321. The next prime is 249970379. The reversal of 249970340 is 43079942.

It can be written as a sum of positive squares in 4 ways, for example, as 5798464 + 244171876 = 2408^2 + 15626^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 249970294 and 249970303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17021 + ... + 28100.

It is an arithmetic number, because the mean of its divisors is an integer number (21951853).

Almost surely, 2249970340 is an apocalyptic number.

249970340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249970340 is an abundant number, since it is smaller than the sum of its proper divisors (276874132).

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

249970340 is a wasteful number, since it uses less digits than its factorization.

249970340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45407 (or 45405 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 249970340 is about 15810.4503414672. The cubic root of 249970340 is about 629.9356111233.

The spelling of 249970340 in words is "two hundred forty-nine million, nine hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 45121 90242 180484 225605 451210 902420 12498517 24997034 49994068 62492585 124985170 249970340