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670395648 = 2831383809
BaseRepresentation
bin100111111101010…
…110110100000000
31201201110121221110
4213331112310000
52333110130043
6150304523320
722420161156
oct4775266400
91651417843
10670395648
1131446a19a
12168620540
13a8b75520
146506d3d6
153dcc5b33
hex27f56d00

670395648 has 144 divisors (see below), whose sum is σ = 1947032640. Its totient is φ = 203538432.

The previous prime is 670395631. The next prime is 670395653. The reversal of 670395648 is 846593076.

670395648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 670395597 and 670395606.

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, 828268 + ... + 829076.

It is an arithmetic number, because the mean of its divisors is an integer number (13521060).

Almost surely, 2670395648 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 670395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973516320).

670395648 is an abundant number, since it is smaller than the sum of its proper divisors (1276636992).

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

670395648 is a wasteful number, since it uses less digits than its factorization.

670395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 670395648 is about 25891.9996910243. Note that the first 3 decimals coincide. The cubic root of 670395648 is about 875.2062199113.

The spelling of 670395648 in words is "six hundred seventy million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 624 664 768 809 832 996 1079 1248 1328 1618 1664 1992 2158 2427 2496 2656 3236 3237 3328 3984 4316 4854 4992 5312 6472 6474 7968 8632 9708 9984 10517 10624 12944 12948 15936 17264 19416 21034 21248 25888 25896 31551 31872 34528 38832 42068 51776 51792 63102 63744 67147 69056 77664 84136 103552 103584 126204 134294 138112 155328 168272 201441 207104 207168 252408 268588 276224 310656 336544 402882 414336 504816 537176 621312 673088 805764 828672 872911 1009632 1074352 1346176 1611528 1745822 2019264 2148704 2618733 2692352 3223056 3491644 4038528 4297408 5237466 6446112 6983288 8077056 8594816 10474932 12892224 13966576 17189632 20949864 25784448 27933152 41899728 51568896 55866304 83799456 111732608 167598912 223465216 335197824 670395648