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331342416 = 243223100043
BaseRepresentation
bin10011101111111…
…110001001010000
3212002110221100100
4103233332021100
51134310424131
652513452400
711132235606
oct2357761120
9762427310
10331342416
11160041509
1292b71100
1353852b02
1432011876
151e1507e6
hex13bfe250

331342416 has 60 divisors (see below), whose sum is σ = 967625568. Its totient is φ = 105644352.

The previous prime is 331342411. The next prime is 331342447. The reversal of 331342416 is 614243133.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331342416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331342411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46710 + ... + 53333.

Almost surely, 2331342416 is an apocalyptic number.

331342416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331342416 is an abundant number, since it is smaller than the sum of its proper divisors (636283152).

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

331342416 is a wasteful number, since it uses less digits than its factorization.

331342416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100080 (or 100071 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 331342416 is about 18202.8134089212. The cubic root of 331342416 is about 691.9780919033.

Adding to 331342416 its reverse (614243133), we get a palindrome (945585549).

The spelling of 331342416 in words is "three hundred thirty-one million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 100043 200086 300129 400172 600258 800344 900387 1200516 1600688 1800774 2300989 2401032 3601548 4601978 4802064 6902967 7203096 9203956 13805934 14406192 18407912 20708901 27611868 36815824 41417802 55223736 82835604 110447472 165671208 331342416