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30046680 = 2333543647
BaseRepresentation
bin111001010011…
…1100111011000
32002112112022000
41302213213120
530142443210
62552001000
7513251436
oct162474730
962475260
1030046680
1115a62574
12a090160
1362c0301
143dc1d56
152987ac0
hex1ca79d8

30046680 has 128 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 7814016.

The previous prime is 30046673. The next prime is 30046691. The reversal of 30046680 is 8664003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46117 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 230046680 is an apocalyptic number.

30046680 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 30046680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600).

30046680 is an abundant number, since it is smaller than the sum of its proper divisors (72596520).

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

30046680 is a wasteful number, since it uses less digits than its factorization.

30046680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

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

The square root of 30046680 is about 5481.4852001989. The cubic root of 30046680 is about 310.8843288710.

The spelling of 30046680 in words is "thirty million, forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 647 774 860 1032 1080 1161 1290 1294 1548 1720 1935 1941 2322 2580 2588 3096 3235 3870 3882 4644 5160 5176 5805 5823 6470 7740 7764 9288 9705 11610 11646 12940 15480 15528 17469 19410 23220 23292 25880 27821 29115 34938 38820 46440 46584 55642 58230 69876 77640 83463 87345 111284 116460 139105 139752 166926 174690 222568 232920 250389 278210 333852 349380 417315 500778 556420 667704 698760 751167 834630 1001556 1112840 1251945 1502334 1669260 2003112 2503890 3004668 3338520 3755835 5007780 6009336 7511670 10015560 15023340 30046680