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103374208 = 2771131021
BaseRepresentation
bin1100010100101…
…01110110000000
321012111221202101
412022111312000
5202430433313
614131400144
72363444350
oct612256600
9235457671
10103374208
1153396633
122a753054
1318555592
14da2cb60
15911e5dd
hex6295d80

103374208 has 64 divisors (see below), whose sum is σ = 237676320. Its totient is φ = 43868160.

The previous prime is 103374163. The next prime is 103374239. The reversal of 103374208 is 802473301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100738 + ... + 101758.

Almost surely, 2103374208 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 103374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118838160).

103374208 is an abundant number, since it is smaller than the sum of its proper divisors (134302112).

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

103374208 is a wasteful number, since it uses less digits than its factorization.

103374208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 103374208 is about 10167.3107555538. The cubic root of 103374208 is about 469.3218044115.

The spelling of 103374208 in words is "one hundred three million, three hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 791 896 904 1021 1582 1808 2042 3164 3616 4084 6328 7147 7232 8168 12656 14294 14464 16336 25312 28588 32672 50624 57176 65344 101248 114352 115373 130688 228704 230746 457408 461492 807611 914816 922984 1615222 1845968 3230444 3691936 6460888 7383872 12921776 14767744 25843552 51687104 103374208