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612034020 = 2232513377069
BaseRepresentation
bin100100011110101…
…110010111100100
31120122122112211200
4210132232113210
52223140042040
6140422002500
721111126513
oct4436562744
91518575750
10612034020
11294528244
12150b76430
1399a50210
145b3da67a
1538ae8630
hex247ae5e4

612034020 has 144 divisors (see below), whose sum is σ = 2053637040. Its totient is φ = 146562048.

The previous prime is 612034001. The next prime is 612034021. The reversal of 612034020 is 20430216.

It is a happy number.

612034020 is a `hidden beast` number, since 61 + 203 + 402 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8054244 + 603979776 = 2838^2 + 24576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 612033984 and 612034002.

It is not an unprimeable number, because it can be changed into a prime (612034021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83046 + ... + 90114.

Almost surely, 2612034020 is an apocalyptic number.

612034020 is a gapful number since it is divisible by the number (60) 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 612034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026818520).

612034020 is an abundant number, since it is smaller than the sum of its proper divisors (1441603020).

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

612034020 is a wasteful number, since it uses less digits than its factorization.

612034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 612034020 is about 24739.3213326477. The cubic root of 612034020 is about 849.0342063990.

Adding to 612034020 its reverse (20430216), we get a palindrome (632464236).

The spelling of 612034020 in words is "six hundred twelve million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7069 7215 8658 9620 14138 14430 17316 21207 21645 28276 28860 35345 42414 43290 63621 70690 84828 86580 91897 106035 127242 141380 183794 212070 254484 261553 275691 318105 367588 424140 459485 523106 551382 636210 784659 827073 918970 1046212 1102764 1272420 1307765 1378455 1569318 1654146 1837940 2353977 2615530 2756910 3138636 3308292 3400189 3923295 4135365 4707954 5231060 5513820 6800378 7846590 8270730 9415908 10200567 11769885 13600756 15693180 16541460 17000945 20401134 23539770 30601701 34001890 40802268 47079540 51002835 61203402 68003780 102005670 122406804 153008505 204011340 306017010 612034020