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3366465240 = 2335473131907
BaseRepresentation
bin1100100010101000…
…0010111011011000
322200121121011010210
43020222002323120
523343303341430
61314015011120
7146265324315
oct31052027330
98617534123
103366465240
111478311186
1279b509aa0
134185b3c88
1423d15bd0c
1514a8312b0
hexc8a82ed8

3366465240 has 128 divisors (see below), whose sum is σ = 10352655360. Its totient is φ = 875357184.

The previous prime is 3366465233. The next prime is 3366465241. The reversal of 3366465240 is 425646633.

It is a super-2 number, since 2×33664652402 = 22666176424256515200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366465241) 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, 1764367 + ... + 1766273.

It is an arithmetic number, because the mean of its divisors is an integer number (80880120).

Almost surely, 23366465240 is an apocalyptic number.

3366465240 is a gapful number since it is divisible by the number (30) 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 3366465240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176327680).

3366465240 is an abundant number, since it is smaller than the sum of its proper divisors (6986190120).

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

3366465240 is a wasteful number, since it uses less digits than its factorization.

3366465240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The square root of 3366465240 is about 58021.2481768533. The cubic root of 3366465240 is about 1498.7345237913.

The spelling of 3366465240 in words is "three billion, three hundred sixty-six million, four hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 313 376 470 564 626 705 939 940 1128 1252 1410 1565 1878 1880 1907 2504 2820 3130 3756 3814 4695 5640 5721 6260 7512 7628 9390 9535 11442 12520 14711 15256 18780 19070 22884 28605 29422 37560 38140 44133 45768 57210 58844 73555 76280 88266 89629 114420 117688 147110 176532 179258 220665 228840 268887 294220 353064 358516 441330 448145 537774 588440 596891 717032 882660 896290 1075548 1193782 1344435 1765320 1790673 1792580 2151096 2387564 2688870 2984455 3581346 3585160 4775128 5377740 5968910 7162692 8953365 10755480 11937820 14325384 17906730 23875640 28053877 35813460 56107754 71626920 84161631 112215508 140269385 168323262 224431016 280538770 336646524 420808155 561077540 673293048 841616310 1122155080 1683232620 3366465240