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253708340 = 225173124071
BaseRepresentation
bin11110001111101…
…00100000110100
3122200101201102012
433013310200310
51004422131330
641101503352
76200325314
oct1707644064
9580351365
10253708340
11120236916
1270b71b58
13407405a2
14259a3444
1517417c95
hexf1f4834

253708340 has 48 divisors (see below), whose sum is σ = 582349824. Its totient is φ = 92428800.

The previous prime is 253708321. The next prime is 253708373. The reversal of 253708340 is 43807352.

It is a happy number.

253708340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253708297 and 253708306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496 + ... + 22575.

It is an arithmetic number, because the mean of its divisors is an integer number (12132288).

Almost surely, 2253708340 is an apocalyptic number.

253708340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253708340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291174912).

253708340 is an abundant number, since it is smaller than the sum of its proper divisors (328641484).

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

253708340 is a wasteful number, since it uses less digits than its factorization.

253708340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24128 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 253708340 is about 15928.2246342774. The cubic root of 253708340 is about 633.0600600047.

The spelling of 253708340 in words is "two hundred fifty-three million, seven hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 24071 48142 96284 120355 240710 409207 481420 746201 818414 1492402 1636828 2046035 2984804 3731005 4092070 7462010 8184140 12685417 14924020 25370834 50741668 63427085 126854170 253708340