Search a number
-
+
334049940 = 223357671319
BaseRepresentation
bin10011111010010…
…011001010010100
3212021120111101000
4103322103022110
51141004044230
653051503300
711164243350
oct2372231224
9767514330
10334049940
11161620734
1293a57b30
13542902b3
1432518460
151e4d7b60
hex13e93294

334049940 has 192 divisors, whose sum is σ = 1206374400. Its totient is φ = 75157632.

The previous prime is 334049897. The next prime is 334049951. The reversal of 334049940 is 49940433.

It is a super-2 number, since 2×3340499402 = 223178724828007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334049895 and 334049904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252601 + ... + 253919.

It is an arithmetic number, because the mean of its divisors is an integer number (6283200).

Almost surely, 2334049940 is an apocalyptic number.

334049940 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 334049940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

334049940 is an abundant number, since it is smaller than the sum of its proper divisors (872324460).

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

334049940 is a wasteful number, since it uses less digits than its factorization.

334049940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 334049940 is about 18277.0331290393. The cubic root of 334049940 is about 693.8577860285.

The spelling of 334049940 in words is "three hundred thirty-four million, forty-nine thousand, nine hundred forty".