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334415249480 = 235135217091741
BaseRepresentation
bin1001101110111001011…
…00111100000001001000
31011222011222021211202202
410313130230330001020
520434340300440410
6413343411215332
733106056501554
oct4673454740110
91158158254682
10334415249480
11119908765644
125498aba7548
13256c5b65a60
1412285b14864
158a73c34ca5
hex4ddcb3c048

334415249480 has 128 divisors (see below), whose sum is σ = 813481250400. Its totient is φ = 122994892800.

The previous prime is 334415249479. The next prime is 334415249489. The reversal of 334415249480 is 84942514433.

It can be written as a sum of positive squares in 16 ways, for example, as 95917806436 + 238497443044 = 309706^2 + 488362^2 .

It is a super-2 number, since 2×3344152494802 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334415249489) 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, 192081410 + ... + 192083150.

Almost surely, 2334415249480 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 334415249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406740625200).

334415249480 is an abundant number, since it is smaller than the sum of its proper divisors (479066000920).

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

334415249480 is a wasteful number, since it uses less digits than its factorization.

334415249480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 334415249480 in words is "three hundred thirty-four billion, four hundred fifteen million, two hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 521 709 1042 1418 1741 2084 2605 2836 3482 3545 4168 5210 5672 6773 6964 7090 8705 9217 10420 13546 13928 14180 17410 18434 20840 22633 27092 28360 33865 34820 36868 45266 46085 54184 67730 69640 73736 90532 92170 113165 135460 181064 184340 226330 270920 368680 369389 452660 738778 905320 907061 1234369 1477556 1814122 1846945 2468738 2955112 3628244 3693890 4535305 4802057 4937476 6171845 7256488 7387780 9070610 9604114 9874952 11791793 12343690 14775560 16046797 18141220 19208228 23583586 24010285 24687380 32093594 36282440 38416456 47167172 48020570 49374760 58958965 64187188 80233985 94334344 96041140 117917930 128374376 160467970 192082280 235835860 320935940 471671720 641871880 643106249 1286212498 2572424996 3215531245 5144849992 6431062490 8360381237 12862124980 16720762474 25724249960 33441524948 41801906185 66883049896 83603812370 167207624740 334415249480