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3344427240 = 23357112315737
BaseRepresentation
bin1100011101010111…
…1110100011101000
322122002010111200120
43013111332203220
523322133132430
61311510403240
7145610106510
oct30725764350
98562114616
103344427240
111466929760
12794060520
13413b6903b
1423a262840
1514892b610
hexc757e8e8

3344427240 has 256 divisors, whose sum is σ = 13053726720. Its totient is φ = 664688640.

The previous prime is 3344427227. The next prime is 3344427259. The reversal of 3344427240 is 427244433.

It is a happy number.

It is a super-2 number, since 2×33444272402 = 22370387127308035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 204652 + ... + 220388.

It is an arithmetic number, because the mean of its divisors is an integer number (50991120).

Almost surely, 23344427240 is an apocalyptic number.

3344427240 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 3344427240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526863360).

3344427240 is an abundant number, since it is smaller than the sum of its proper divisors (9709299480).

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

3344427240 is a wasteful number, since it uses less digits than its factorization.

3344427240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792 (or 15788 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The square root of 3344427240 is about 57831.0231623131. The cubic root of 3344427240 is about 1495.4569566179.

The spelling of 3344427240 in words is "three billion, three hundred forty-four million, four hundred twenty-seven thousand, two hundred forty".