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354343040 = 2754611201
BaseRepresentation
bin10101000111101…
…101100010000000
3220200202111021022
4111013231202000
51211202434130
655054445012
711531603042
oct2507554200
9820674238
10354343040
11172021197
129a803768
1358546c4c
14350bba92
15211957e5
hex151ed880

354343040 has 64 divisors (see below), whose sum is σ = 849645720. Its totient is φ = 141312000.

The previous prime is 354343013. The next prime is 354343063. The reversal of 354343040 is 40343453.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127418944 + 226924096 = 11288^2 + 15064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 294440 + ... + 295640.

Almost surely, 2354343040 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 354343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424822860).

354343040 is an abundant number, since it is smaller than the sum of its proper divisors (495302680).

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

354343040 is a wasteful number, since it uses less digits than its factorization.

354343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 354343040 is about 18824.0016999574. The cubic root of 354343040 is about 707.6328226866.

Adding to 354343040 its reverse (40343453), we get a palindrome (394686493).

The spelling of 354343040 in words is "three hundred fifty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 461 640 922 1201 1844 2305 2402 3688 4610 4804 6005 7376 9220 9608 12010 14752 18440 19216 24020 29504 36880 38432 48040 59008 73760 76864 96080 147520 153728 192160 295040 384320 553661 768640 1107322 2214644 2768305 4429288 5536610 8858576 11073220 17717152 22146440 35434304 44292880 70868608 88585760 177171520 354343040