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334377340 = 225117121407
BaseRepresentation
bin10011111011100…
…011000101111100
3212022012010110221
4103323203011330
51141100033330
653102511124
711200106023
oct2373430574
9768163427
10334377340
11161824710
1293b954a4
135437631b
14325a18ba
151e54eb7a
hex13ee317c

334377340 has 48 divisors (see below), whose sum is σ = 776853504. Its totient is φ = 119873600.

The previous prime is 334377313. The next prime is 334377343. The reversal of 334377340 is 43773433.

It is a super-2 number, since 2×3343773402 = 223616411010951200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334377296 and 334377305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334377343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917 + ... + 26323.

It is an arithmetic number, because the mean of its divisors is an integer number (16184448).

Almost surely, 2334377340 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 334377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388426752).

334377340 is an abundant number, since it is smaller than the sum of its proper divisors (442476164).

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

334377340 is a wasteful number, since it uses less digits than its factorization.

334377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 34.

The square root of 334377340 is about 18285.9875314406. The cubic root of 334377340 is about 694.0843937266.

It can be divided in two parts, 3 and 34377340, that added together give a palindrome (34377343).

The spelling of 334377340 in words is "three hundred thirty-four million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 21407 42814 85628 107035 214070 235477 428140 470954 941908 1177385 1519897 2354770 3039794 4709540 6079588 7599485 15198970 16718867 30397940 33437734 66875468 83594335 167188670 334377340