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38078334 = 23271729613
BaseRepresentation
bin1001000101000…
…0011101111110
32122122120122200
42101100131332
534222001314
63440052330
7641442360
oct221203576
978576580
1038078334
111a5488a8
12109040a6
137b72c78
1450b2d30
153522709
hex245077e

38078334 has 96 divisors (see below), whose sum is σ = 103446720. Its totient is φ = 9870336.

The previous prime is 38078329. The next prime is 38078371. The reversal of 38078334 is 43387083.

38078334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61812 + ... + 62424.

It is an arithmetic number, because the mean of its divisors is an integer number (1077570).

Almost surely, 238078334 is an apocalyptic number.

38078334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38078334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51723360).

38078334 is an abundant number, since it is smaller than the sum of its proper divisors (65368386).

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

38078334 is a wasteful number, since it uses less digits than its factorization.

38078334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38078334 is about 6170.7644583147. The cubic root of 38078334 is about 336.4283970179.

The spelling of 38078334 in words is "thirty-eight million, seventy-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 261 306 357 406 493 522 609 613 714 986 1071 1218 1226 1479 1827 1839 2142 2958 3451 3654 3678 4291 4437 5517 6902 8582 8874 10353 10421 11034 12873 17777 20706 20842 25746 31059 31263 35554 38619 53331 62118 62526 72947 77238 93789 106662 124439 145894 159993 187578 218841 248878 302209 319986 373317 437682 604418 656523 746634 906627 1119951 1313046 1813254 2115463 2239902 2719881 4230926 5439762 6346389 12692778 19039167 38078334