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3400130112 = 263234991543
BaseRepresentation
bin1100101010101001…
…1101111001000000
322202221221111122220
43022222131321000
523430413130422
61321220331040
7150154425531
oct31252357100
98687844586
103400130112
111495315095
127aa843a80
13422570112
14243802688
1514d780e5c
hexcaa9de40

3400130112 has 112 divisors (see below), whose sum is σ = 9412224000. Its totient is φ = 1081225728.

The previous prime is 3400130093. The next prime is 3400130113. The reversal of 3400130112 is 2110310043.

It is a junction number, because it is equal to n+sod(n) for n = 3400130091 and 3400130100.

It is not an unprimeable number, because it can be changed into a prime (3400130113) 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, 2202813 + ... + 2204355.

Almost surely, 23400130112 is an apocalyptic number.

3400130112 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 3400130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706112000).

3400130112 is an abundant number, since it is smaller than the sum of its proper divisors (6012093888).

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

3400130112 is a wasteful number, since it uses less digits than its factorization.

3400130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3400130112 is about 58310.6346389747. The cubic root of 3400130112 is about 1503.7137772065.

Adding to 3400130112 its reverse (2110310043), we get a palindrome (5510440155).

The spelling of 3400130112 in words is "three billion, four hundred million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 499 552 736 998 1104 1472 1497 1543 1996 2208 2994 3086 3992 4416 4629 5988 6172 7984 9258 11477 11976 12344 15968 18516 22954 23952 24688 31936 34431 35489 37032 45908 47904 49376 68862 70978 74064 91816 95808 98752 106467 137724 141956 148128 183632 212934 275448 283912 296256 367264 425868 550896 567824 734528 769957 851736 1101792 1135648 1539914 1703472 2203584 2271296 2309871 3079828 3406944 4619742 6159656 6813888 9239484 12319312 17709011 18478968 24638624 35418022 36957936 49277248 53127033 70836044 73915872 106254066 141672088 147831744 212508132 283344176 425016264 566688352 850032528 1133376704 1700065056 3400130112