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346060080 = 243351311223
BaseRepresentation
bin10100101000000…
…111010100110000
3220010011200012000
4110220013110300
51202042410310
654201134000
711401314342
oct2450072460
9803150160
10346060080
11168384073
1297a8a300
1356906aa2
1433d63292
15205ab4c0
hex14a07530

346060080 has 160 divisors (see below), whose sum is σ = 1202065920. Its totient is φ = 91503360.

The previous prime is 346060073. The next prime is 346060111. The reversal of 346060080 is 80060643.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282349 + ... + 283571.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2346060080 is an apocalyptic number.

346060080 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 346060080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601032960).

346060080 is an abundant number, since it is smaller than the sum of its proper divisors (856005840).

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

346060080 is a wasteful number, since it uses less digits than its factorization.

346060080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

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

The square root of 346060080 is about 18602.6901280433. The cubic root of 346060080 is about 702.0755269751.

The spelling of 346060080 in words is "three hundred forty-six million, sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 131 135 144 180 216 240 262 270 360 393 432 524 540 655 720 786 1048 1080 1179 1223 1310 1572 1965 2096 2160 2358 2446 2620 3144 3537 3669 3930 4716 4892 5240 5895 6115 6288 7074 7338 7860 9432 9784 10480 11007 11790 12230 14148 14676 15720 17685 18345 18864 19568 22014 23580 24460 28296 29352 31440 33021 35370 36690 44028 47160 48920 55035 56592 58704 66042 70740 73380 88056 94320 97840 110070 132084 141480 146760 160213 165105 176112 220140 264168 282960 293520 320426 330210 440280 480639 528336 640852 660420 801065 880560 961278 1281704 1320840 1441917 1602130 1922556 2403195 2563408 2641680 2883834 3204260 3845112 4325751 4806390 5767668 6408520 7209585 7690224 8651502 9612780 11535336 12817040 14419170 17303004 19225560 21628755 23070672 28838340 34606008 38451120 43257510 57676680 69212016 86515020 115353360 173030040 346060080