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104034630 = 23574143281
BaseRepresentation
bin1100011001101…
…11000101000110
321020202111200110
412030313011012
5203113102010
614153453450
72402164650
oct614670506
9236674613
10104034630
11537a7837
122aa11286
131872706b
14db616d0
159200120
hex6337146

104034630 has 128 divisors (see below), whose sum is σ = 300174336. Its totient is φ = 22579200.

The previous prime is 104034617. The next prime is 104034643. The reversal of 104034630 is 36430401.

It is an interprime number because it is at equal distance from previous prime (104034617) and next prime (104034643).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104034597 and 104034606.

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 63 ways as a sum of consecutive naturals, for example, 370090 + ... + 370370.

It is an arithmetic number, because the mean of its divisors is an integer number (2345112).

Almost surely, 2104034630 is an apocalyptic number.

104034630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104034630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150087168).

104034630 is an abundant number, since it is smaller than the sum of its proper divisors (196139706).

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

104034630 is a wasteful number, since it uses less digits than its factorization.

104034630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 104034630 is about 10199.7367613091. The cubic root of 104034630 is about 470.3191283673.

The spelling of 104034630 in words is "one hundred four million, thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 43 70 82 86 105 123 129 205 210 215 246 258 281 287 301 410 430 562 574 602 615 645 843 861 903 1230 1290 1405 1435 1505 1686 1722 1763 1806 1967 2810 2870 3010 3526 3934 4215 4305 4515 5289 5901 8430 8610 8815 9030 9835 10578 11521 11802 12083 12341 17630 19670 23042 24166 24682 26445 29505 34563 36249 37023 52890 57605 59010 60415 61705 69126 72498 74046 80647 84581 115210 120830 123410 161294 169162 172815 181245 185115 241941 253743 345630 362490 370230 403235 422905 483882 495403 507486 806470 845810 990806 1209705 1268715 1486209 2419410 2477015 2537430 2972418 3467821 4954030 6935642 7431045 10403463 14862090 17339105 20806926 34678210 52017315 104034630