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30416442 = 237232372
BaseRepresentation
bin111010000000…
…1111000111010
32010020022111220
41310001320322
530241311232
63003532510
7516351450
oct164017072
963208456
1030416442
1116195361
12a22a136
1363bc6c4
14407a9d0
152a0c42c
hex1d01e3a

30416442 has 72 divisors (see below), whose sum is σ = 74694816. Its totient is φ = 8087904.

The previous prime is 30416423. The next prime is 30416443. The reversal of 30416442 is 24461403.

It is not an unprimeable number, because it can be changed into a prime (30416443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 822048 + ... + 822084.

It is an arithmetic number, because the mean of its divisors is an integer number (1037428).

Almost surely, 230416442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30416442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37347408).

30416442 is an abundant number, since it is smaller than the sum of its proper divisors (44278374).

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

30416442 is a wasteful number, since it uses less digits than its factorization.

30416442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30416442 is about 5515.1103343451. The cubic root of 30416442 is about 312.1544066430.

Adding to 30416442 its reverse (24461403), we get a palindrome (54877845).

The spelling of 30416442 in words is "thirty million, four hundred sixteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 529 777 851 966 1058 1369 1554 1587 1702 2553 2738 3174 3703 4107 5106 5957 7406 8214 9583 11109 11914 17871 19166 19573 22218 28749 31487 35742 39146 57498 58719 62974 94461 117438 137011 188922 220409 274022 411033 440818 661227 724201 822066 1322454 1448402 2172603 4345206 5069407 10138814 15208221 30416442