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2704426368 = 27371759183
BaseRepresentation
bin1010000100110010…
…0100010110000000
320222110212002112120
42201030210112000
521014313120433
61124205124240
7124006146660
oct24114442600
96873762476
102704426368
11116863a616
12635859680
133413a63b7
141b92661a0
1510c65b7b3
hexa1324580

2704426368 has 128 divisors (see below), whose sum is σ = 8692945920. Its totient is φ = 727228416.

The previous prime is 2704426363. The next prime is 2704426369. The reversal of 2704426368 is 8636244072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704426363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16105 + ... + 75287.

It is an arithmetic number, because the mean of its divisors is an integer number (67913640).

Almost surely, 22704426368 is an apocalyptic number.

2704426368 is a gapful number since it is divisible by the number (28) 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 2704426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346472960).

2704426368 is an abundant number, since it is smaller than the sum of its proper divisors (5988519552).

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

2704426368 is a wasteful number, since it uses less digits than its factorization.

2704426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59224 (or 59212 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2704426368 is about 52004.0995307101. The cubic root of 2704426368 is about 1393.2371746454.

The spelling of 2704426368 in words is "two billion, seven hundred four million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 59183 118366 177549 236732 355098 414281 473464 710196 828562 946928 1006111 1242843 1420392 1657124 1893856 2012222 2485686 2840784 3018333 3314248 3787712 4024444 4971372 5681568 6036666 6628496 7042777 7575424 8048888 9942744 11363136 12073332 13256992 14085554 16097776 19885488 21128331 22726272 24146664 26513984 28171108 32195552 39770976 42256662 48293328 53027968 56342216 64391104 79541952 84513324 96586656 112684432 128782208 159083904 169026648 193173312 225368864 338053296 386346624 450737728 676106592 901475456 1352213184 2704426368