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3397010000 = 2454192941
BaseRepresentation
bin1100101001111010…
…0100001001010000
322202202001222200012
43022132210021100
523424113310000
61321025414052
7150116052146
oct31236441120
98682058605
103397010000
11149358398a
127a979a328
13421a19bb7
1424322d596
1514d366735
hexca7a4250

3397010000 has 150 divisors (see below), whose sum is σ = 8689376322. Its totient is φ = 1285920000.

The previous prime is 3397009951. The next prime is 3397010003. The reversal of 3397010000 is 107933.

It can be written as a sum of positive squares in 5 ways, for example, as 1133534224 + 2263475776 = 33668^2 + 47576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397010003) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 3609530 + ... + 3610470.

Almost surely, 23397010000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344688161).

3397010000 is an abundant number, since it is smaller than the sum of its proper divisors (5292366322).

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

3397010000 is an equidigital number, since it uses as much as digits as its factorization.

3397010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 3397010000 is about 58283.8742706763. The cubic root of 3397010000 is about 1503.2536780240.

Adding to 3397010000 its reverse (107933), we get a palindrome (3397117933).

The spelling of 3397010000 in words is "three billion, three hundred ninety-seven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 361 380 400 475 500 625 722 760 941 950 1000 1250 1444 1520 1805 1882 1900 2000 2375 2500 2888 3610 3764 3800 4705 4750 5000 5776 7220 7528 7600 9025 9410 9500 10000 11875 14440 15056 17879 18050 18820 19000 23525 23750 28880 35758 36100 37640 38000 45125 47050 47500 71516 72200 75280 89395 90250 94100 95000 117625 143032 144400 178790 180500 188200 190000 225625 235250 286064 339701 357580 361000 376400 446975 451250 470500 588125 679402 715160 722000 893950 902500 941000 1176250 1358804 1430320 1698505 1787900 1805000 1882000 2234875 2352500 2717608 3397010 3575800 3610000 4469750 4705000 5435216 6794020 7151600 8492525 8939500 9410000 11174375 13588040 16985050 17879000 22348750 27176080 33970100 35758000 42462625 44697500 67940200 84925250 89395000 135880400 169850500 178790000 212313125 339701000 424626250 679402000 849252500 1698505000 3397010000