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355104240 = 24355327917
BaseRepresentation
bin10101001010100…
…111010111110000
3220202012011102220
4111022213113300
51211401313430
655123041040
711541223221
oct2512472760
9822164386
10355104240
111724a1087
129ab10180
135875256a
1435239248
1521296110
hex152a75f0

355104240 has 80 divisors (see below), whose sum is σ = 1121633568. Its totient is φ = 92904448.

The previous prime is 355104181. The next prime is 355104247. The reversal of 355104240 is 42401553.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 355104240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355104247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 26678.

Almost surely, 2355104240 is an apocalyptic number.

355104240 is a gapful number since it is divisible by the number (30) 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 355104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560816784).

355104240 is an abundant number, since it is smaller than the sum of its proper divisors (766529328).

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

355104240 is a wasteful number, since it uses less digits than its factorization.

355104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27986 (or 27980 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 355104240 is about 18844.2097207604. The cubic root of 355104240 is about 708.1391727429.

Adding to 355104240 its reverse (42401553), we get a palindrome (397505793).

The spelling of 355104240 in words is "three hundred fifty-five million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 27917 55834 83751 111668 139585 167502 223336 279170 335004 418755 446672 558340 670008 837510 1116680 1340016 1479601 1675020 2233360 2959202 3350040 4438803 5918404 6700080 7398005 8877606 11836808 14796010 17755212 22194015 23673616 29592020 35510424 44388030 59184040 71020848 88776060 118368080 177552120 355104240