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3370385000 = 23542412797
BaseRepresentation
bin1100100011100011…
…1111111001101000
322200212222022001002
43020320333321220
523400304310000
61314235014132
7146343541223
oct31070777150
98625868032
103370385000
11147a549154
127a089a348
13419357168
1423d89c5ba
1514ad578d5
hexc8e3fe68

3370385000 has 80 divisors (see below), whose sum is σ = 7932413940. Its totient is φ = 1342080000.

The previous prime is 3370384937. The next prime is 3370385009. The reversal of 3370385000 is 5830733.

It can be written as a sum of positive squares in 10 ways, for example, as 2439844 + 3367945156 = 1562^2 + 58034^2 .

It is a super-2 number, since 2×33703850002 = 22718990096450000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3370385009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1203602 + ... + 1206398.

Almost surely, 23370385000 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 3370385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966206970).

3370385000 is an abundant number, since it is smaller than the sum of its proper divisors (4562028940).

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

3370385000 is a wasteful number, since it uses less digits than its factorization.

3370385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 3370385000 is about 58055.0170097297. The cubic root of 3370385000 is about 1499.3159844255.

The spelling of 3370385000 in words is "three billion, three hundred seventy million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 625 964 1000 1205 1250 1928 2410 2500 2797 4820 5000 5594 6025 9640 11188 12050 13985 22376 24100 27970 30125 48200 55940 60250 69925 111880 120500 139850 150625 241000 279700 301250 349625 559400 602500 674077 699250 1205000 1348154 1398500 1748125 2696308 2797000 3370385 3496250 5392616 6740770 6992500 13481540 13985000 16851925 26963080 33703850 67407700 84259625 134815400 168519250 337038500 421298125 674077000 842596250 1685192500 3370385000