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2038307412 = 22317311092957
BaseRepresentation
bin111100101111110…
…0001101001010100
312021001102202010010
41321133201221110
513133301314122
6534132000220
7101340220131
oct17137415124
95231382103
102038307412
11956631589
1248a760070
1326639a67b
141549cb588
15bde2ce0c
hex797e1a54

2038307412 has 96 divisors (see below), whose sum is σ = 5247728640. Its totient is φ = 612956160.

The previous prime is 2038307407. The next prime is 2038307431. The reversal of 2038307412 is 2147038302.

It is a self number, because there is not a number n which added to its sum of digits gives 2038307412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687838 + ... + 690794.

It is an arithmetic number, because the mean of its divisors is an integer number (54663840).

Almost surely, 22038307412 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 2038307412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623864320).

2038307412 is an abundant number, since it is smaller than the sum of its proper divisors (3209421228).

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

2038307412 is a wasteful number, since it uses less digits than its factorization.

2038307412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2038307412 is about 45147.6180102561. The cubic root of 2038307412 is about 1267.9142841613.

The spelling of 2038307412 in words is "two billion, thirty-eight million, three hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 109 124 186 204 218 327 372 436 527 654 1054 1308 1581 1853 2108 2957 3162 3379 3706 5559 5914 6324 6758 7412 8871 10137 11118 11828 13516 17742 20274 22236 35484 40548 50269 57443 91667 100538 114886 150807 172329 183334 201076 229772 275001 301614 322313 344658 366668 550002 603228 644626 689316 966939 1100004 1289252 1558339 1933878 3116678 3867756 4675017 5479321 6233356 9350034 9991703 10958642 16437963 18700068 19983406 21917284 29975109 32875926 39966812 59950218 65751852 119900436 169858951 339717902 509576853 679435804 1019153706 2038307412