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670352040 = 233259911879
BaseRepresentation
bin100111111101001…
…100001010101000
31201201101102010100
4213331030022220
52333102231130
6150303545400
722416620061
oct4775141250
91651342110
10670352040
1131443a456
121685bb260
13a8b5b717
146505b568
153dcb7c60
hex27f4c2a8

670352040 has 96 divisors (see below), whose sum is σ = 2182003200. Its totient is φ = 178485120.

The previous prime is 670351931. The next prime is 670352057. The reversal of 670352040 is 40253076.

It is a happy number.

670352040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 670351995 and 670352013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355821 + ... + 357699.

It is an arithmetic number, because the mean of its divisors is an integer number (22729200).

Almost surely, 2670352040 is an apocalyptic number.

670352040 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 670352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091001600).

670352040 is an abundant number, since it is smaller than the sum of its proper divisors (1511651160).

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

670352040 is a wasteful number, since it uses less digits than its factorization.

670352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 670352040 is about 25891.1575639252. The cubic root of 670352040 is about 875.1872426499.

The spelling of 670352040 in words is "six hundred seventy million, three hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 991 1879 1982 2973 3758 3964 4955 5637 5946 7516 7928 8919 9395 9910 11274 11892 14865 15032 16911 17838 18790 19820 22548 23784 28185 29730 33822 35676 37580 39640 44595 45096 56370 59460 67644 71352 75160 84555 89190 112740 118920 135288 169110 178380 225480 338220 356760 676440 1862089 3724178 5586267 7448356 9310445 11172534 14896712 16758801 18620890 22345068 27931335 33517602 37241780 44690136 55862670 67035204 74483560 83794005 111725340 134070408 167588010 223450680 335176020 670352040