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34031031480 = 23325194975297
BaseRepresentation
bin11111101100011010…
…000101010010111000
310020211200101112000100
4133230122011102320
51024143421001410
623344511035400
72313214665135
oct375432052270
9106750345010
1034031031480
11134836a2706
126718b0bb60
133294560124
14190b95958c
15d4297d8c0
hex7ec6854b8

34031031480 has 96 divisors (see below), whose sum is σ = 116421973200. Its totient is φ = 8597311488.

The previous prime is 34031031413. The next prime is 34031031527. The reversal of 34031031480 is 8413013043.

34031031480 is a `hidden beast` number, since 34 + 0 + 310 + 314 + 8 + 0 = 666.

It is a super-3 number, since 3×340310314803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480809 + ... + 2494488.

Almost surely, 234031031480 is an apocalyptic number.

34031031480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34031031480 is an abundant number, since it is smaller than the sum of its proper divisors (82390941720).

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

34031031480 is a wasteful number, since it uses less digits than its factorization.

34031031480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975333 (or 4975326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34031031480 in words is "thirty-four billion, thirty-one million, thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 4975297 9950594 14925891 19901188 24876485 29851782 39802376 44777673 49752970 59703564 74629455 89555346 94530643 99505940 119407128 149258910 179110692 189061286 199011880 223888365 283591929 298517820 358221384 378122572 447776730 472653215 567183858 597035640 756245144 850775787 895553460 945306430 1134367716 1417959645 1701551574 1791106920 1890612860 2268735432 2835919290 3403103148 3781225720 4253878935 5671838580 6806206296 8507757870 11343677160 17015515740 34031031480