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38346334884 = 2232111313675449
BaseRepresentation
bin100011101101100111…
…101010001010100100
310122222102101122102100
4203231213222022210
51112013130204014
625341023012100
72525154316464
oct435547521244
9118872348370
1038346334884
1115298562a60
12752213a030
1338015aa0b0
141bdab07ba4
15ee6737009
hex8ed9ea2a4

38346334884 has 144 divisors (see below), whose sum is σ = 113981212800. Its totient is φ = 10716433920.

The previous prime is 38346334877. The next prime is 38346334913. The reversal of 38346334884 is 48843364383.

38346334884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38346334884.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7034592 + ... + 7040040.

It is an arithmetic number, because the mean of its divisors is an integer number (791536200).

Almost surely, 238346334884 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 38346334884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56990606400).

38346334884 is an abundant number, since it is smaller than the sum of its proper divisors (75634877916).

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

38346334884 is a wasteful number, since it uses less digits than its factorization.

38346334884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6845 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 38346334884 in words is "thirty-eight billion, three hundred forty-six million, three hundred thirty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1367 1716 2574 2734 4101 5148 5449 5468 8202 10898 12303 15037 16347 16404 17771 21796 24606 30074 32694 35542 45111 49041 49212 53313 59939 60148 65388 70837 71084 90222 98082 106626 119878 135333 141674 159939 179817 180444 195481 196164 212511 213252 239756 270666 283348 319878 359634 390962 425022 539451 541332 586443 637533 639756 719268 779207 781924 850044 1078902 1172886 1275066 1558414 1759329 2157804 2337621 2345772 2550132 3116828 3518658 4675242 7012863 7037316 7448783 9350484 14025726 14897566 22346349 28051452 29795132 44692698 67039047 81936613 89385396 96834179 134078094 163873226 193668358 245809839 268156188 290502537 327746452 387336716 491619678 581005074 737429517 871507611 983239356 1065175969 1162010148 1474859034 1743015222 2130351938 2949718068 3195527907 3486030444 4260703876 6391055814 9586583721 12782111628 19173167442 38346334884