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30302440432 = 241131783701
BaseRepresentation
bin11100001110001010…
…101000101111110000
32220012211101110122121
4130032022220233300
5444024411043212
621530514244024
72121631331245
oct341612505760
986184343577
1030302440432
111193aa35000
125a58286614
132b1bc38934
1416766955cc
15bc546ad07
hex70e2a8bf0

30302440432 has 80 divisors (see below), whose sum is σ = 68377168224. Its totient is φ = 12963456000.

The previous prime is 30302440423. The next prime is 30302440439. The reversal of 30302440432 is 23404420303.

It is a super-2 number, since 2×303024404322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30302440397 and 30302440406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30302440439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320182 + ... + 403882.

Almost surely, 230302440432 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 30302440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34188584112).

30302440432 is an abundant number, since it is smaller than the sum of its proper divisors (38074727792).

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

30302440432 is a wasteful number, since it uses less digits than its factorization.

30302440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83759 (or 83731 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 30302440432 its reverse (23404420303), we get a palindrome (53706860735).

The spelling of 30302440432 in words is "thirty billion, three hundred two million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1331 1496 1936 2057 2662 2992 4114 5324 8228 10648 16456 21296 22627 32912 45254 83701 90508 167402 181016 334804 362032 669608 920711 1339216 1422917 1841422 2845834 3682844 5691668 7365688 10127821 11383336 14731376 15652087 20255642 22766672 31304174 40511284 62608348 81022568 111406031 125216696 162045136 172172957 222812062 250433392 344345914 445624124 688691828 891248248 1377383656 1782496496 1893902527 2754767312 3787805054 7575610108 15151220216 30302440432