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355340020 = 225719313151
BaseRepresentation
bin10101001011100…
…000111011110100
3220202122010212111
4111023200323310
51211431340040
655132100404
711543224510
oct2513407364
9822563774
10355340020
11172642242
129b004704
1358805989
143529b140
15212e0dea
hex152e0ef4

355340020 has 48 divisors (see below), whose sum is σ = 857299968. Its totient is φ = 121190400.

The previous prime is 355339997. The next prime is 355340023. The reversal of 355340020 is 20043553.

It is a junction number, because it is equal to n+sod(n) for n = 355339973 and 355340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355340023) 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, 20445 + ... + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (17860416).

Almost surely, 2355340020 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 355340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428649984).

355340020 is an abundant number, since it is smaller than the sum of its proper divisors (501959948).

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

355340020 is a wasteful number, since it uses less digits than its factorization.

355340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 355340020 is about 18850.4647157570. The cubic root of 355340020 is about 708.2958667457.

Adding to 355340020 its reverse (20043553), we get a palindrome (375383573).

The spelling of 355340020 in words is "three hundred fifty-five million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 5404 6755 13151 13510 26302 27020 52604 65755 92057 131510 184114 263020 368228 460285 920570 1841140 2538143 5076286 10152572 12690715 17767001 25381430 35534002 50762860 71068004 88835005 177670010 355340020