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334941440 = 285261673
BaseRepresentation
bin10011111101101…
…100110100000000
3212100020210021112
4103331230310000
51141221111230
653122542452
711204645441
oct2375546400
9770223245
10334941440
1116207a509
1294207a28
1354513002
14326ab2c8
151e611d95
hex13f6cd00

334941440 has 36 divisors (see below), whose sum is σ = 802292484. Its totient is φ = 133976064.

The previous prime is 334941419. The next prime is 334941469. The reversal of 334941440 is 44149433.

334941440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 229098496 + 105842944 = 15136^2 + 10288^2 .

It is a super-2 number, since 2×3349414402 = 224371536458547200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 334941397 and 334941406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129557 + ... + 132116.

Almost surely, 2334941440 is an apocalyptic number.

It is an amenable number.

334941440 is an abundant number, since it is smaller than the sum of its proper divisors (467351044).

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

334941440 is an equidigital number, since it uses as much as digits as its factorization.

334941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261694 (or 261680 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 334941440 is about 18301.4054105142. The cubic root of 334941440 is about 694.4744849914.

The spelling of 334941440 in words is "three hundred thirty-four million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 261673 523346 1046692 1308365 2093384 2616730 4186768 5233460 8373536 10466920 16747072 20933840 33494144 41867680 66988288 83735360 167470720 334941440