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30023424 = 283283157
BaseRepresentation
bin111001010000…
…1111100000000
32002111100101200
41302201330000
530141222144
62551301200
7513123564
oct162417400
962440350
1030023424
1115a47052
12a07a800
1362b2852
143db76a4
152980c69
hex1ca1f00

30023424 has 108 divisors (see below), whose sum is σ = 88165896. Its totient is φ = 9824256.

The previous prime is 30023369. The next prime is 30023431. The reversal of 30023424 is 42432003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30023397 and 30023406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191154 + ... + 191310.

Almost surely, 230023424 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 30023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44082948).

30023424 is an abundant number, since it is smaller than the sum of its proper divisors (58142472).

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

30023424 is a wasteful number, since it uses less digits than its factorization.

30023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30023424 is about 5479.3634666811. The cubic root of 30023424 is about 310.8041004612.

Adding to 30023424 its reverse (42432003), we get a palindrome (72455427).

The spelling of 30023424 in words is "thirty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 157 166 192 249 256 288 314 332 384 471 498 576 628 664 747 768 942 996 1152 1256 1328 1413 1494 1884 1992 2304 2512 2656 2826 2988 3768 3984 5024 5312 5652 5976 7536 7968 10048 10624 11304 11952 13031 15072 15936 20096 21248 22608 23904 26062 30144 31872 39093 40192 45216 47808 52124 60288 63744 78186 90432 95616 104248 117279 120576 156372 180864 191232 208496 234558 312744 361728 416992 469116 625488 833984 938232 1250976 1667968 1876464 2501952 3335936 3752928 5003904 7505856 10007808 15011712 30023424