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34378917300 = 2232527131922093
BaseRepresentation
bin100000000001001001…
…001010010110110100
310021201220222221122100
4200001021022112310
51030402000323200
623443215302100
72324640655410
oct400111122664
9107656887570
1034378917300
1113642003452
1267b551a930
13331b655c20
141941c35d40
15d6329ad00
hex80124a5b4

34378917300 has 432 divisors, whose sum is σ = 139612869760. Its totient is φ = 6871495680.

The previous prime is 34378917263. The next prime is 34378917317. The reversal of 34378917300 is 371987343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1545054 + ... + 1567146.

Almost surely, 234378917300 is an apocalyptic number.

34378917300 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 34378917300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69806434880).

34378917300 is an abundant number, since it is smaller than the sum of its proper divisors (105233952460).

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

34378917300 is a wasteful number, since it uses less digits than its factorization.

34378917300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22152 (or 22142 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 34378917300 in words is "thirty-four billion, three hundred seventy-eight million, nine hundred seventeen thousand, three hundred".