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30744840 = 23357172153
BaseRepresentation
bin111010101001…
…0000100001000
32010211222222210
41311102010020
530332313330
63014545120
7522220050
oct165220410
963758883
1030744840
111639a065
12a3681a0
1364a6019
144124560
152a748b0
hex1d52108

30744840 has 128 divisors (see below), whose sum is σ = 111663360. Its totient is φ = 6610944.

The previous prime is 30744827. The next prime is 30744863. The reversal of 30744840 is 4844703.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30744798 and 30744807.

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, 13204 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (872370).

Almost surely, 230744840 is an apocalyptic number.

30744840 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 30744840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831680).

30744840 is an abundant number, since it is smaller than the sum of its proper divisors (80918520).

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

30744840 is a wasteful number, since it uses less digits than its factorization.

30744840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 30744840 is about 5544.8029721533. The cubic root of 30744840 is about 313.2738028849.

The spelling of 30744840 in words is "thirty million, seven hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2153 2380 2856 3570 4306 4760 6459 7140 8612 10765 12918 14280 15071 17224 21530 25836 30142 32295 36601 43060 45213 51672 60284 64590 73202 75355 86120 90426 109803 120568 129180 146404 150710 180852 183005 219606 226065 256207 258360 292808 301420 361704 366010 439212 452130 512414 549015 602840 732020 768621 878424 904260 1024828 1098030 1281035 1464040 1537242 1808520 2049656 2196060 2562070 3074484 3843105 4392120 5124140 6148968 7686210 10248280 15372420 30744840