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3401231022 = 232726076353
BaseRepresentation
bin1100101010111010…
…1010101010101110
322210001000102211100
43022232222222232
523431203343042
61321300103530
7150166662300
oct31256525256
98701012740
103401231022
1114959a7232
127ab094ba6
13422867247
14243a0b970
1514d8ec24c
hexcabaaaae

3401231022 has 72 divisors (see below), whose sum is σ = 8587964736. Its totient is φ = 970026624.

The previous prime is 3401231017. The next prime is 3401231023. The reversal of 3401231022 is 2201321043.

3401231022 is a `hidden beast` number, since 340 + 12 + 310 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401230986 and 3401231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401231023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532198 + ... + 538550.

It is an arithmetic number, because the mean of its divisors is an integer number (119277288).

Almost surely, 23401231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293982368).

3401231022 is an abundant number, since it is smaller than the sum of its proper divisors (5186733714).

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

3401231022 is a wasteful number, since it uses less digits than its factorization.

3401231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401231022 is about 58320.0739197062. The cubic root of 3401231022 is about 1503.8760528491.

Adding to 3401231022 its reverse (2201321043), we get a palindrome (5602552065).

The spelling of 3401231022 in words is "three billion, four hundred one million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 607 882 1214 1821 3642 4249 5463 6353 8498 10926 12706 12747 19059 25494 29743 38118 38241 44471 57177 59486 76482 88942 89229 114354 133413 178458 266826 267687 311297 400239 535374 622594 800478 933891 1867782 2801673 3856271 5603346 7712542 11568813 23137626 26993897 34706439 53987794 69412878 80981691 161963382 188957279 242945073 377914558 485890146 566871837 1133743674 1700615511 3401231022