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30023004 = 223112232931
BaseRepresentation
bin111001010000…
…1110101011100
32002111022211010
41302201311130
530141214004
62551255220
7513122424
oct162416534
962438733
1030023004
1115a46800
12a07a510
1362b25bb
143db7484
152980a89
hex1ca1d5c

30023004 has 144 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 8131200.

The previous prime is 30022999. The next prime is 30023017. The reversal of 30023004 is 40032003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968469 + ... + 968499.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 230023004 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 30023004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

30023004 is an abundant number, since it is smaller than the sum of its proper divisors (55777956).

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

30023004 is a wasteful number, since it uses less digits than its factorization.

30023004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30023004 is about 5479.3251409275. The cubic root of 30023004 is about 310.8026511669.

Adding to 30023004 its reverse (40032003), we get a palindrome (70055007).

It can be divided in two parts, 3002 and 3004, that added together give a palindrome (6006).

The spelling of 30023004 in words is "thirty million, twenty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 29 31 33 44 46 58 62 66 69 87 92 93 116 121 124 132 138 174 186 242 253 276 319 341 348 363 372 484 506 638 667 682 713 726 759 899 957 1012 1023 1276 1334 1364 1426 1452 1518 1798 1914 2001 2046 2139 2668 2697 2783 2852 3036 3509 3596 3751 3828 4002 4092 4278 5394 5566 7018 7337 7502 7843 8004 8349 8556 9889 10527 10788 11132 11253 14036 14674 15004 15686 16698 19778 20677 21054 22011 22506 23529 29348 29667 31372 33396 39556 41354 42108 44022 45012 47058 59334 62031 80707 82708 86273 88044 94116 108779 118668 124062 161414 172546 217558 227447 242121 248124 258819 322828 326337 345092 435116 454894 484242 517638 652674 682341 909788 968484 1035276 1305348 1364682 2501917 2729364 5003834 7505751 10007668 15011502 30023004