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3374004348 = 223311131771181
BaseRepresentation
bin1100100100011011…
…0011100001111100
322201010210011212000
43021012303201330
523402221114343
61314444342300
7146416364241
oct31106634174
98633704760
103374004348
1114815a0450
127a1b44990
1341a0236a0
142401615c8
1514b31eed3
hexc91b387c

3374004348 has 384 divisors, whose sum is σ = 11095418880. Its totient is φ = 870912000.

The previous prime is 3374004313. The next prime is 3374004371. The reversal of 3374004348 is 8434004733.

It is a happy number.

3374004348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33740043482 = 22767810680645810208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18640818 + ... + 18640998.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 23374004348 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 3374004348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

3374004348 is an abundant number, since it is smaller than the sum of its proper divisors (7721414532).

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

3374004348 is a wasteful number, since it uses less digits than its factorization.

3374004348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3374004348 is about 58086.1803529893. The cubic root of 3374004348 is about 1499.8524814927.

The spelling of 3374004348 in words is "three billion, three hundred seventy-four million, four thousand, three hundred forty-eight".