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3422267688 = 2337171963067
BaseRepresentation
bin1100101111111011…
…1010100100101000
322211111121012201010
43023332322210220
524002100031223
61323331023520
7150543536550
oct31376724450
98744535633
103422267688
1114a6865404
127b613aba0
13427021488
14246726160
151506a5393
hexcbfba928

3422267688 has 128 divisors (see below), whose sum is σ = 10898150400. Its totient is φ = 871824384.

The previous prime is 3422267687. The next prime is 3422267731. The reversal of 3422267688 is 8867622243.

It is a super-2 number, since 2×34222676882 = 23423832256657730688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3422267687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22731 + ... + 85797.

It is an arithmetic number, because the mean of its divisors is an integer number (85141800).

Almost surely, 23422267688 is an apocalyptic number.

3422267688 is a gapful number since it is divisible by the number (38) 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 3422267688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449075200).

3422267688 is an abundant number, since it is smaller than the sum of its proper divisors (7475882712).

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

3422267688 is a wasteful number, since it uses less digits than its factorization.

3422267688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63119 (or 63115 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 3422267688 is about 58500.1511792918. The cubic root of 3422267688 is about 1506.9701813245.

The spelling of 3422267688 in words is "three billion, four hundred twenty-two million, two hundred sixty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 54264 63067 126134 189201 252268 378402 441469 504536 756804 882938 1072139 1198273 1324407 1513608 1765876 2144278 2396546 2648814 3216417 3531752 3594819 4288556 4793092 5297628 6432834 7189638 7504973 8387911 8577112 9586184 10595256 12865668 14379276 15009946 16775822 20370641 22514919 25163733 25731336 28758552 30019892 33551644 40741282 45029838 50327466 60039784 61111923 67103288 81482564 90059676 100654932 122223846 142594487 162965128 180119352 201309864 244447692 285188974 427783461 488895384 570377948 855566922 1140755896 1711133844 3422267688