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3422604288 = 21031765537
BaseRepresentation
bin1100110000000000…
…1100110000000000
322211112020022102210
43030000030300000
524002141314123
61323342142120
7150546441105
oct31400146000
98745208383
103422604288
1114a6a75294
127b6281940
1342710b74c
142467b2aac
1515071ee93
hexcc00cc00

3422604288 has 88 divisors (see below), whose sum is σ = 9659252592. Its totient is φ = 1073741824.

The previous prime is 3422604277. The next prime is 3422604299. The reversal of 3422604288 is 8824062243.

It is an interprime number because it is at equal distance from previous prime (3422604277) and next prime (3422604299).

It is a super-2 number, since 2×34226042882 = 23428440224471973888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

In principle, a polygon with 3422604288 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19456 + ... + 84992.

It is an arithmetic number, because the mean of its divisors is an integer number (109764234).

Almost surely, 23422604288 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 3422604288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829626296).

3422604288 is an abundant number, since it is smaller than the sum of its proper divisors (6236648304).

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

3422604288 is a wasteful number, since it uses less digits than its factorization.

3422604288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65577 (or 65559 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3422604288 is about 58503.0280241972. The cubic root of 3422604288 is about 1507.0195861422.

The spelling of 3422604288 in words is "three billion, four hundred twenty-two million, six hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 52224 65537 131074 196611 262148 393222 524296 786444 1048592 1114129 1572888 2097184 2228258 3145776 3342387 4194368 4456516 6291552 6684774 8388736 8913032 12583104 13369548 16777472 17826064 25166208 26739096 33554944 35652128 50332416 53478192 67109888 71304256 100664832 106956384 142608512 201329664 213912768 285217024 427825536 570434048 855651072 1140868096 1711302144 3422604288