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30432233440 = 255729936953
BaseRepresentation
bin11100010101111001…
…110000011111100000
32220112212121122012001
4130111321300133200
5444311122432230
621551432213344
72125065500440
oct342571603740
986485548161
1030432233440
11119a7225454
125a9383a254
132b3cab112b
141689a00120
15bd1a580ca
hex715e707e0

30432233440 has 96 divisors (see below), whose sum is σ = 85000466880. Its totient is φ = 10074107904.

The previous prime is 30432233393. The next prime is 30432233449. The reversal of 30432233440 is 4433223403.

It is a super-2 number, since 2×304322334402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 30432233399 and 30432233408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432233449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435997 + ... + 500956.

It is an arithmetic number, because the mean of its divisors is an integer number (885421530).

Almost surely, 230432233440 is an apocalyptic number.

It is an amenable number.

30432233440 is an abundant number, since it is smaller than the sum of its proper divisors (54568233440).

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

30432233440 is a wasteful number, since it uses less digits than its factorization.

30432233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937004 (or 936996 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 30432233440 its reverse (4433223403), we get a palindrome (34865456843).

The spelling of 30432233440 in words is "thirty billion, four hundred thirty-two million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 32480 936953 1873906 3747812 4684765 6558671 7495624 9369530 13117342 14991248 18739060 26234684 27171637 29982496 32793355 37478120 52469368 54343274 65586710 74956240 104938736 108686548 131173420 135858185 149912480 190201459 209877472 217373096 262346840 271716370 380402918 434746192 524693680 543432740 760805836 869492384 951007295 1049387360 1086865480 1521611672 1902014590 2173730960 3043223344 3804029180 4347461920 6086446688 7608058360 15216116720 30432233440