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30380240 = 24511192379
BaseRepresentation
bin111001111100…
…1000011010000
32010011110212002
41303321003100
530234131430
63003053132
7516141062
oct163710320
963143762
1030380240
1116170140
12a2111a8
1363a9097
14406b732
152a01845
hex1cf90d0

30380240 has 160 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 9884160.

The previous prime is 30380237. The next prime is 30380243. The reversal of 30380240 is 4208303.

It is an interprime number because it is at equal distance from previous prime (30380237) and next prime (30380243).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30380243) 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, 384521 + ... + 384599.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 230380240 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 30380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

30380240 is an abundant number, since it is smaller than the sum of its proper divisors (55328560).

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

30380240 is a wasteful number, since it uses less digits than its factorization.

30380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 30380240 is about 5511.8272832156. The cubic root of 30380240 is about 312.0305142191.

Adding to 30380240 its reverse (4208303), we get a palindrome (34588543).

The spelling of 30380240 in words is "thirty million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 38 40 44 46 55 76 79 80 88 92 95 110 115 152 158 176 184 190 209 220 230 253 304 316 368 380 395 418 437 440 460 506 632 760 790 836 869 874 880 920 1012 1045 1264 1265 1501 1520 1580 1672 1738 1748 1817 1840 2024 2090 2185 2530 3002 3160 3344 3476 3496 3634 4048 4180 4345 4370 4807 5060 6004 6320 6952 6992 7268 7505 8360 8690 8740 9085 9614 10120 12008 13904 14536 15010 16511 16720 17380 17480 18170 19228 19987 20240 24016 24035 29072 30020 33022 34523 34760 34960 36340 38456 39974 48070 60040 66044 69046 69520 72680 76912 79948 82555 96140 99935 120080 132088 138092 145360 159896 165110 172615 192280 199870 264176 276184 319792 330220 345230 379753 384560 399740 552368 660440 690460 759506 799480 1320880 1380920 1519012 1598960 1898765 2761840 3038024 3797530 6076048 7595060 15190120 30380240