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104034240 = 2633512041
BaseRepresentation
bin1100011001101…
…10111111000000
321020202111011000
412030312333000
5203113043430
614153452000
72402163552
oct614667700
9236674130
10104034240
11537a7512
122aa11000
1318726b2b
14db614d2
1591eee60
hex6336fc0

104034240 has 112 divisors (see below), whose sum is σ = 367040160. Its totient is φ = 27740160.

The previous prime is 104034239. The next prime is 104034257. The reversal of 104034240 is 42430401.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2620 + ... + 14660.

Almost surely, 2104034240 is an apocalyptic number.

104034240 is a gapful number since it is divisible by the number (10) 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 104034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520080).

104034240 is an abundant number, since it is smaller than the sum of its proper divisors (263005920).

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

104034240 is a wasteful number, since it uses less digits than its factorization.

104034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104034240 is about 10199.7176431507. The cubic root of 104034240 is about 470.3185406633.

Adding to 104034240 its reverse (42430401), we get a palindrome (146464641).

The spelling of 104034240 in words is "one hundred four million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 12041 24082 36123 48164 60205 72246 96328 108369 120410 144492 180615 192656 216738 240820 288984 325107 361230 385312 433476 481640 541845 577968 650214 722460 770624 866952 963280 1083690 1155936 1300428 1444920 1625535 1733904 1926560 2167380 2311872 2600856 2889840 3251070 3467808 3853120 4334760 5201712 5779680 6502140 6935616 8669520 10403424 11559360 13004280 17339040 20806848 26008560 34678080 52017120 104034240