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670353984 = 26325772017
BaseRepresentation
bin100111111101001…
…100101001000000
31201201101111210100
4213331030221000
52333102311414
6150304002400
722416625536
oct4775145100
91651344710
10670353984
11314440963
12168600400
13a8b5c581
146505c156
153dcb8609
hex27f4ca40

670353984 has 84 divisors (see below), whose sum is σ = 1925733004. Its totient is φ = 222953472.

The previous prime is 670353967. The next prime is 670353989. The reversal of 670353984 is 489353076.

It can be written as a sum of positive squares in 2 ways, for example, as 631416384 + 38937600 = 25128^2 + 6240^2 .

It is not an unprimeable number, because it can be changed into a prime (670353989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331344 + ... + 333360.

Almost surely, 2670353984 is an apocalyptic number.

670353984 is a gapful number since it is divisible by the number (64) 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 670353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962866502).

670353984 is an abundant number, since it is smaller than the sum of its proper divisors (1255379020).

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

670353984 is a wasteful number, since it uses less digits than its factorization.

670353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 670353984 is about 25891.1951056725. The cubic root of 670353984 is about 875.1880886543.

The spelling of 670353984 in words is "six hundred seventy million, three hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 577 1154 1731 2017 2308 3462 4034 4616 5193 6051 6924 8068 9232 10386 12102 13848 16136 18153 18464 20772 24204 27696 32272 36306 36928 41544 48408 55392 64544 72612 83088 96816 110784 129088 145224 166176 193632 290448 332352 387264 580896 1161792 1163809 2327618 3491427 4655236 6982854 9310472 10474281 13965708 18620944 20948562 27931416 37241888 41897124 55862832 74483776 83794248 111725664 167588496 223451328 335176992 670353984