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103439376 = 24331491607
BaseRepresentation
bin1100010101001…
…01110000010000
321012122021011000
412022211300100
5202440030001
614133022000
72364135345
oct612456020
9235567130
10103439376
1153430597
122a784900
1318579141
14da487cc
159133a86
hex62a5c10

103439376 has 80 divisors (see below), whose sum is σ = 299088000. Its totient is φ = 34227072.

The previous prime is 103439327. The next prime is 103439387. The reversal of 103439376 is 673934301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103439376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63565 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (3738600).

Almost surely, 2103439376 is an apocalyptic number.

103439376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103439376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149544000).

103439376 is an abundant number, since it is smaller than the sum of its proper divisors (195648624).

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

103439376 is a wasteful number, since it uses less digits than its factorization.

103439376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 103439376 is about 10170.5150312066. The cubic root of 103439376 is about 469.4204052109.

The spelling of 103439376 in words is "one hundred three million, four hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 447 596 894 1192 1341 1607 1788 2384 2682 3214 3576 4023 4821 5364 6428 7152 8046 9642 10728 12856 14463 16092 19284 21456 25712 28926 32184 38568 43389 57852 64368 77136 86778 115704 173556 231408 239443 347112 478886 694224 718329 957772 1436658 1915544 2154987 2873316 3831088 4309974 5746632 6464961 8619948 11493264 12929922 17239896 25859844 34479792 51719688 103439376