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3750008340 = 22351319793203
BaseRepresentation
bin1101111110000100…
…1001011000010100
3100200100022011100210
43133201021120110
530140000231330
61420035405420
7161633354631
oct33741113024
910610264323
103750008340
111654866851
12887a53870
13479bb2a60
1427807b188
1516e3438b0
hexdf849614

3750008340 has 192 divisors, whose sum is σ = 12057292800. Its totient is φ = 863156736.

The previous prime is 3750008287. The next prime is 3750008347. The reversal of 3750008340 is 438000573.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3750008298 and 3750008307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750008347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169179 + ... + 1172381.

It is an arithmetic number, because the mean of its divisors is an integer number (62798400).

Almost surely, 23750008340 is an apocalyptic number.

3750008340 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 3750008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028646400).

3750008340 is an abundant number, since it is smaller than the sum of its proper divisors (8307284460).

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

3750008340 is a wasteful number, since it uses less digits than its factorization.

3750008340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3750008340 is about 61237.3116653564. The cubic root of 3750008340 is about 1553.6174047236.

The spelling of 3750008340 in words is "three billion, seven hundred fifty million, eight thousand, three hundred forty".