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3395625984 = 210326072
BaseRepresentation
bin1100101001100101…
…0010010000000000
322202122110200011100
43022121102100000
523423240012414
61320540014400
7150101226132
oct31231222000
98678420140
103395625984
111492819073
127a9231400
13421653c5a
14242d8d052
1514d191609
hexca652400

3395625984 has 99 divisors (see below), whose sum is σ = 9820975827. Its totient is φ = 1130010624.

The previous prime is 3395625977. The next prime is 3395626007. The reversal of 3395625984 is 4895265933.

The square root of 3395625984 is 58272.

It is a perfect power (a square), and thus also a powerful number.

3395625984 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 625 + 9 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3395625984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5593809 + ... + 5594415.

Almost surely, 23395625984 is an apocalyptic number.

3395625984 is the 58272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395625984

3395625984 is an abundant number, since it is smaller than the sum of its proper divisors (6425349843).

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

3395625984 is an frugal number, since it uses more digits than its factorization.

3395625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 612 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The cubic root of 3395625984 is about 1503.0494975087.

The spelling of 3395625984 in words is "three billion, three hundred ninety-five million, six hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 607 768 1024 1152 1214 1536 1821 2304 2428 3072 3642 4608 4856 5463 7284 9216 9712 10926 14568 19424 21852 29136 38848 43704 58272 77696 87408 116544 155392 174816 233088 310784 349632 368449 466176 621568 699264 736898 932352 1105347 1398528 1473796 1864704 2210694 2797056 2947592 3316041 4421388 5594112 5895184 6632082 8842776 11790368 13264164 17685552 23580736 26528328 35371104 47161472 53056656 70742208 94322944 106113312 141484416 188645888 212226624 282968832 377291776 424453248 565937664 848906496 1131875328 1697812992 3395625984