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3434140332 = 22327192393001
BaseRepresentation
bin1100110010110000…
…1101001010101100
322212022221101220200
43030230031022230
524013114442312
61324433313500
7151046465640
oct31454151254
98768841820
103434140332
111502534507
127ba105890
1342961a4cc
14248136c20
1515174d0dc
hexccb0d2ac

3434140332 has 144 divisors (see below), whose sum is σ = 10490188800. Its totient is φ = 925344000.

The previous prime is 3434140321. The next prime is 3434140393. The reversal of 3434140332 is 2330414343.

It is a junction number, because it is equal to n+sod(n) for n = 3434140296 and 3434140305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142832 + ... + 1145832.

Almost surely, 23434140332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434140332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245094400).

3434140332 is an abundant number, since it is smaller than the sum of its proper divisors (7056048468).

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

3434140332 is a wasteful number, since it uses less digits than its factorization.

3434140332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3434140332 is about 58601.5386487420. The cubic root of 3434140332 is about 1508.7108468435.

Adding to 3434140332 its reverse (2330414343), we get a palindrome (5764554675).

The spelling of 3434140332 in words is "three billion, four hundred thirty-four million, one hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 239 252 266 342 399 478 532 684 717 798 956 1197 1434 1596 1673 2151 2394 2868 3001 3346 4302 4541 4788 5019 6002 6692 8604 9003 9082 10038 12004 13623 15057 18006 18164 20076 21007 27009 27246 30114 31787 36012 40869 42014 54018 54492 57019 60228 63021 63574 81738 84028 95361 108036 114038 126042 127148 163476 171057 189063 190722 228076 252084 286083 342114 378126 381444 399133 513171 572166 684228 717239 756252 798266 1026342 1144332 1197399 1434478 1596532 2052684 2151717 2394798 2868956 3592197 4303434 4789596 5020673 6455151 7184394 8606868 10041346 12910302 13627541 14368788 15062019 20082692 25820604 27255082 30124038 40882623 45186057 54510164 60248076 81765246 90372114 95392787 122647869 163530492 180744228 190785574 245295738 286178361 381571148 490591476 572356722 858535083 1144713444 1717070166 3434140332