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3480874560 = 26345134293
BaseRepresentation
bin1100111101111001…
…1110111001000000
322222120212202020000
43033132132321000
524112100441220
61333223120000
7152154642222
oct31736367100
98876782200
103480874560
111526954639
128118a3000
134362012b7
14250420412
151558d0390
hexcf79ee40

3480874560 has 140 divisors (see below), whose sum is σ = 12382175388. Its totient is φ = 928226304.

The previous prime is 3480874541. The next prime is 3480874571. The reversal of 3480874560 is 654780843.

3480874560 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 87 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2306304576 + 1174569984 = 48024^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41227 + ... + 93066.

Almost surely, 23480874560 is an apocalyptic number.

3480874560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3480874560 is an abundant number, since it is smaller than the sum of its proper divisors (8901300828).

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

3480874560 is a wasteful number, since it uses less digits than its factorization.

3480874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134322 (or 134303 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3480874560 is about 58998.9369395754. The cubic root of 3480874560 is about 1515.5239046807.

The spelling of 3480874560 in words is "three billion, four hundred eighty million, eight hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 134293 268586 402879 537172 671465 805758 1074344 1208637 1342930 1611516 2014395 2148688 2417274 2685860 3223032 3625911 4028790 4297376 4834548 5371720 6043185 6446064 7251822 8057580 8594752 9669096 10743440 10877733 12086370 12892128 14503644 16115160 18129555 19338192 21486880 21755466 24172740 25784256 29007288 32230320 36259110 38676384 42973760 43510932 48345480 54388665 58014576 64460640 72518220 77352768 87021864 96690960 108777330 116029152 128921280 145036440 174043728 193381920 217554660 232058304 290072880 348087456 386763840 435109320 580145760 696174912 870218640 1160291520 1740437280 3480874560