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670224384 = 2123218181
BaseRepresentation
bin100111111100101…
…101000000000000
31201201010221000100
4213330231000000
52333034140014
6150301122400
722415545644
oct4774550000
91651127010
10670224384
11314362555
12168559400
13a8b1559b
1465026c24
153dc90009
hex27f2d000

670224384 has 78 divisors (see below), whose sum is σ = 1936073906. Its totient is φ = 223395840.

The previous prime is 670224377. The next prime is 670224391. The reversal of 670224384 is 483422076.

It is an interprime number because it is at equal distance from previous prime (670224377) and next prime (670224391).

It can be written as a sum of positive squares in only one way, i.e., 661929984 + 8294400 = 25728^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27774 + ... + 45954.

Almost surely, 2670224384 is an apocalyptic number.

670224384 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 670224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968036953).

670224384 is an abundant number, since it is smaller than the sum of its proper divisors (1265849522).

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

670224384 is a wasteful number, since it uses less digits than its factorization.

670224384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18211 (or 18186 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 670224384 is about 25888.6922033540. The cubic root of 670224384 is about 875.1316847795.

The spelling of 670224384 in words is "six hundred seventy million, two hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18181 18432 36362 36864 54543 72724 109086 145448 163629 218172 290896 327258 436344 581792 654516 872688 1163584 1309032 1745376 2327168 2618064 3490752 4654336 5236128 6981504 9308672 10472256 13963008 18617344 20944512 27926016 37234688 41889024 55852032 74469376 83778048 111704064 167556096 223408128 335112192 670224384