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1971342030 = 235724612909
BaseRepresentation
bin111010110000000…
…0100101011001110
312002101102112212210
41311200010223032
513014130421110
6523340411250
766565062600
oct16540045316
95071375783
101971342030
11921853499
12470246b26
13255552198
14149b59170
15b8101520
hex75804ace

1971342030 has 96 divisors (see below), whose sum is σ = 5517499680. Its totient is φ = 449460480.

The previous prime is 1971342013. The next prime is 1971342031. The reversal of 1971342030 is 302431791.

1971342030 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971342031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676216 + ... + 679124.

It is an arithmetic number, because the mean of its divisors is an integer number (57473955).

Almost surely, 21971342030 is an apocalyptic number.

1971342030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971342030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758749840).

1971342030 is an abundant number, since it is smaller than the sum of its proper divisors (3546157650).

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

1971342030 is a wasteful number, since it uses less digits than its factorization.

1971342030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1971342030 is about 44399.7976346740. The cubic root of 1971342030 is about 1253.8742792953.

The spelling of 1971342030 in words is "one billion, nine hundred seventy-one million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 461 490 735 922 1383 1470 2305 2766 2909 3227 4610 5818 6454 6915 8727 9681 13830 14545 16135 17454 19362 20363 22589 29090 32270 40726 43635 45178 48405 61089 67767 87270 96810 101815 112945 122178 135534 142541 203630 225890 285082 305445 338835 427623 610890 677670 712705 855246 1341049 1425410 2138115 2682098 4023147 4276230 6705245 8046294 9387343 13410490 18774686 20115735 28162029 40231470 46936715 56324058 65711401 93873430 131422802 140810145 197134203 281620290 328557005 394268406 657114010 985671015 1971342030