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3434373378 = 233314743651
BaseRepresentation
bin1100110010110100…
…0110000100000010
322212100101020121000
43030231012010002
524013144422003
61324442312430
7151051456242
oct31455060402
98770336530
103434373378
111502683607
127ba1b8716
1342969c5c7
14248197b22
151517971a3
hexccb46102

3434373378 has 64 divisors (see below), whose sum is σ = 8045936640. Its totient is φ = 1084266000.

The previous prime is 3434373377. The next prime is 3434373389. The reversal of 3434373378 is 8733734343.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3434373373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56853 + ... + 100503.

It is an arithmetic number, because the mean of its divisors is an integer number (125717760).

Almost surely, 23434373378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434373378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022968320).

3434373378 is an abundant number, since it is smaller than the sum of its proper divisors (4611563262).

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

3434373378 is a wasteful number, since it uses less digits than its factorization.

3434373378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43740 (or 43734 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 45.

The square root of 3434373378 is about 58603.5270098993. The cubic root of 3434373378 is about 1508.7449738778.

The spelling of 3434373378 in words is "three billion, four hundred thirty-four million, three hundred seventy-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 279 282 423 558 837 846 1269 1457 1674 2538 2914 4371 8742 13113 26226 39339 43651 78678 87302 130953 261906 392859 785718 1178577 1353181 2051597 2357154 2706362 4059543 4103194 6154791 8119086 12178629 12309582 18464373 24357258 36535887 36928746 55393119 63599507 73071774 110786238 127199014 190798521 381597042 572395563 1144791126 1717186689 3434373378