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40378380 = 22357127757
BaseRepresentation
bin1001101000001…
…0000000001100
32210222102201120
42122002000030
540314102010
64001240540
71000132140
oct232020014
983872646
1040378380
1120879969
1211633150
138499b43
145511220
153828e70
hex268200c

40378380 has 96 divisors (see below), whose sum is σ = 130400256. Its totient is φ = 9144576.

The previous prime is 40378379. The next prime is 40378397. The reversal of 40378380 is 8387304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52962 + ... + 53718.

It is an arithmetic number, because the mean of its divisors is an integer number (1358336).

Almost surely, 240378380 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 40378380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65200128).

40378380 is an abundant number, since it is smaller than the sum of its proper divisors (90021876).

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

40378380 is a wasteful number, since it uses less digits than its factorization.

40378380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 40378380 is about 6354.3984766459. The cubic root of 40378380 is about 343.0701746505.

The spelling of 40378380 in words is "forty million, three hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 210 254 381 420 508 635 757 762 889 1270 1514 1524 1778 1905 2271 2540 2667 3028 3556 3785 3810 4445 4542 5299 5334 7570 7620 8890 9084 10598 10668 11355 13335 15140 15897 17780 21196 22710 26495 26670 31794 45420 52990 53340 63588 79485 96139 105980 158970 192278 288417 317940 384556 480695 576834 672973 961390 1153668 1345946 1442085 1922780 2018919 2691892 2884170 3364865 4037838 5768340 6729730 8075676 10094595 13459460 20189190 40378380