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3422412032 = 28132935461
BaseRepresentation
bin1100101111111101…
…1101110100000000
322211111212112201012
43023333131310000
524002114141112
61323334100052
7150545010434
oct31377356400
98744775635
103422412032
1114a69538a6
127b61aa628
134270720a0
142467629c4
151506d3022
hexcbfddd00

3422412032 has 72 divisors (see below), whose sum is σ = 7610854440. Its totient is φ = 1525063680.

The previous prime is 3422411999. The next prime is 3422412041. The reversal of 3422412032 is 2302142243.

It can be written as a sum of positive squares in 4 ways, for example, as 84345856 + 3338066176 = 9184^2 + 57776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3422411989 and 3422412007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78782 + ... + 114242.

Almost surely, 23422412032 is an apocalyptic number.

3422412032 is a gapful number since it is divisible by the number (32) 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 3422412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805427220).

3422412032 is an abundant number, since it is smaller than the sum of its proper divisors (4188442408).

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

3422412032 is a wasteful number, since it uses less digits than its factorization.

3422412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35519 (or 35505 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3422412032 is about 58501.3848724968. The cubic root of 3422412032 is about 1506.9913679630.

Adding to 3422412032 its reverse (2302142243), we get a palindrome (5724554275).

The spelling of 3422412032 in words is "three billion, four hundred twenty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 754 832 928 1508 1664 1856 3016 3328 3712 6032 7424 12064 24128 35461 48256 70922 96512 141844 283688 460993 567376 921986 1028369 1134752 1843972 2056738 2269504 3687944 4113476 4539008 7375888 8226952 9078016 13368797 14751776 16453904 26737594 29503552 32907808 53475188 59007104 65815616 106950376 118014208 131631232 213900752 263262464 427801504 855603008 1711206016 3422412032