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38134710 = 23251929769
BaseRepresentation
bin1001000101111…
…0001110110110
32122202102222200
42101132032312
534230302320
63441205330
7642065625
oct221361666
978672880
1038134710
111a587199
1210930846
137b92823
1450c96bc
153534290
hex245e3b6

38134710 has 96 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 9289728.

The previous prime is 38134703. The next prime is 38134711. The reversal of 38134710 is 1743183.

It is a super-3 number, since 3×381347103 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38134711) 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, 49206 + ... + 49974.

It is an arithmetic number, because the mean of its divisors is an integer number (1126125).

Almost surely, 238134710 is an apocalyptic number.

38134710 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38134710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

38134710 is an abundant number, since it is smaller than the sum of its proper divisors (69973290).

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

38134710 is a wasteful number, since it uses less digits than its factorization.

38134710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38134710 is about 6175.3307603723. The cubic root of 38134710 is about 336.5943455847.

Adding to 38134710 its reverse (1743183), we get a palindrome (39877893).

The spelling of 38134710 in words is "thirty-eight million, one hundred thirty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 522 551 570 769 855 870 1102 1305 1538 1653 1710 2307 2610 2755 3306 3845 4614 4959 5510 6921 7690 8265 9918 11535 13842 14611 16530 22301 23070 24795 29222 34605 43833 44602 49590 66903 69210 73055 87666 111505 131499 133806 146110 200709 219165 223010 262998 334515 401418 423719 438330 657495 669030 847438 1003545 1271157 1314990 2007090 2118595 2542314 3813471 4237190 6355785 7626942 12711570 19067355 38134710