Search a number
-
+
68340120 = 23353118371
BaseRepresentation
bin1000001001011…
…00100110011000
311202121001000120
410010230212120
5114443340440
610440433240
71456611222
oct404544630
9152531016
1068340120
1135637a42
121aa78820
131120a154
14910d412
155eeddd0
hex412c998

68340120 has 64 divisors (see below), whose sum is σ = 211645440. Its totient is φ = 17635200.

The previous prime is 68340109. The next prime is 68340137. The reversal of 68340120 is 2104386.

It is a happy number.

It is a super-2 number, since 2×683401202 = 9340744003228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5466 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (3306960).

Almost surely, 268340120 is an apocalyptic number.

68340120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68340120 is an abundant number, since it is smaller than the sum of its proper divisors (143305320).

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

68340120 is a wasteful number, since it uses less digits than its factorization.

68340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68340120 is about 8266.8083321195. The cubic root of 68340120 is about 408.8448946882.

The spelling of 68340120 in words is "sixty-eight million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 18371 36742 55113 73484 91855 110226 146968 183710 220452 275565 367420 440904 551130 569501 734840 1102260 1139002 1708503 2204520 2278004 2847505 3417006 4556008 5695010 6834012 8542515 11390020 13668024 17085030 22780040 34170060 68340120