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34025132460 = 223511173032543
BaseRepresentation
bin11111101100000011…
…100101000110101100
310020211021021211002010
4133230003211012230
51024140413214320
623344140401220
72313113565624
oct375403450654
9106737254063
1034025132460
1113480333690
126716b46210
133293276097
14190ac61884
15d421b5ae0
hex7ec0e51ac

34025132460 has 96 divisors (see below), whose sum is σ = 110044956672. Its totient is φ = 7763307520.

The previous prime is 34025132419. The next prime is 34025132461. The reversal of 34025132460 is 6423152043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34025132461) 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, 1505052 + ... + 1527491.

It is an arithmetic number, because the mean of its divisors is an integer number (1146301632).

Almost surely, 234025132460 is an apocalyptic number.

34025132460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34025132460 is an abundant number, since it is smaller than the sum of its proper divisors (76019824212).

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

34025132460 is a wasteful number, since it uses less digits than its factorization.

34025132460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032583 (or 3032581 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34025132460 in words is "thirty-four billion, twenty-five million, one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 3032543 6065086 9097629 12130172 15162715 18195258 30325430 33357973 36390516 45488145 51553231 60650860 66715946 90976290 100073919 103106462 133431892 154659693 166789865 181952580 200147838 206212924 257766155 309319386 333579730 400295676 500369595 515532310 567085541 618638772 667159460 773298465 1000739190 1031064620 1134171082 1546596930 1701256623 2001478380 2268342164 2835427705 3093193860 3402513246 5670855410 6805026492 8506283115 11341710820 17012566230 34025132460