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30413040 = 2435743421
BaseRepresentation
bin111010000000…
…1000011110000
32010020010211220
41310001003300
530241204130
63003505040
7516335520
oct164010360
963203756
1030413040
1116192849
12a228180
1363baca8
144079680
152a0b410
hex1d010f0

30413040 has 160 divisors (see below), whose sum is σ = 110516736. Its totient is φ = 6773760.

The previous prime is 30413039. The next prime is 30413059. The reversal of 30413040 is 4031403.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 72030 + ... + 72450.

Almost surely, 230413040 is an apocalyptic number.

30413040 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 30413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55258368).

30413040 is an abundant number, since it is smaller than the sum of its proper divisors (80103696).

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

30413040 is a wasteful number, since it uses less digits than its factorization.

30413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30413040 is about 5514.8019003406. The cubic root of 30413040 is about 312.1427683226.

Adding to 30413040 its reverse (4031403), we get a palindrome (34444443).

The spelling of 30413040 in words is "thirty million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 421 430 516 560 602 645 688 840 842 860 903 1032 1204 1263 1290 1505 1680 1684 1720 1806 2064 2105 2408 2526 2580 2947 3010 3368 3440 3612 4210 4515 4816 5052 5160 5894 6020 6315 6736 7224 8420 8841 9030 10104 10320 11788 12040 12630 14448 14735 16840 17682 18060 18103 20208 23576 24080 25260 29470 33680 35364 36120 36206 44205 47152 50520 54309 58940 70728 72240 72412 88410 90515 101040 108618 117880 126721 141456 144824 176820 181030 217236 235760 253442 271545 289648 353640 362060 380163 434472 506884 543090 633605 707280 724120 760326 868944 1013768 1086180 1267210 1448240 1520652 1900815 2027536 2172360 2534420 3041304 3801630 4344720 5068840 6082608 7603260 10137680 15206520 30413040