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30453840 = 2433523613
BaseRepresentation
bin111010000101…
…1000001010000
32010022012211000
41310023001100
530244010330
63004422000
7516565464
oct164130120
963265730
1030453840
111621046a
12a247900
136403731
14408a4a4
152a18560
hex1d0b050

30453840 has 160 divisors (see below), whose sum is σ = 109635840. Its totient is φ = 7755264.

The previous prime is 30453833. The next prime is 30453859. The reversal of 30453840 is 4835403.

It is a happy number.

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, 49374 + ... + 49986.

It is an arithmetic number, because the mean of its divisors is an integer number (685224).

Almost surely, 230453840 is an apocalyptic number.

30453840 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 30453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817920).

30453840 is an abundant number, since it is smaller than the sum of its proper divisors (79182000).

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

30453840 is a wasteful number, since it uses less digits than its factorization.

30453840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30453840 is about 5518.4997961403. The cubic root of 30453840 is about 312.2822888946.

The spelling of 30453840 in words is "thirty million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 613 621 690 720 828 920 1035 1080 1104 1226 1242 1380 1656 1839 1840 2070 2160 2452 2484 2760 3065 3105 3312 3678 4140 4904 4968 5517 5520 6130 6210 7356 8280 9195 9808 9936 11034 12260 12420 14099 14712 16551 16560 18390 22068 24520 24840 27585 28198 29424 33102 36780 42297 44136 49040 49680 55170 56396 66204 70495 73560 82755 84594 88272 110340 112792 126891 132408 140990 147120 165510 169188 211485 220680 225584 253782 264816 281980 331020 338376 380673 422970 441360 507564 563960 634455 662040 676752 761346 845940 1015128 1127920 1268910 1324080 1522692 1691880 1903365 2030256 2537820 3045384 3383760 3806730 5075640 6090768 7613460 10151280 15226920 30453840