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30400433310 = 23513234772109
BaseRepresentation
bin11100010100000000…
…011100110010011110
32220110122210000121110
4130110000130302132
5444230002331220
621544334442450
72124231263622
oct342400346236
986418700543
1030400433310
1111990285555
125a85063426
132b363289a0
1416856c3182
15bcdd75be0
hex71401cc9e

30400433310 has 128 divisors (see below), whose sum is σ = 83735285760. Its totient is φ = 7005436416.

The previous prime is 30400433291. The next prime is 30400433339. The reversal of 30400433310 is 1333400403.

It is a super-2 number, since 2×304004333102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385536 + ... + 457644.

It is an arithmetic number, because the mean of its divisors is an integer number (654181920).

Almost surely, 230400433310 is an apocalyptic number.

30400433310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30400433310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41867642880).

30400433310 is an abundant number, since it is smaller than the sum of its proper divisors (53334852450).

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

30400433310 is a wasteful number, since it uses less digits than its factorization.

30400433310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72202.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 30400433310 its reverse (1333400403), we get a palindrome (31733833713).

The spelling of 30400433310 in words is "thirty billion, four hundred million, four hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 47 65 69 78 94 115 130 138 141 195 230 235 282 299 345 390 470 598 611 690 705 897 1081 1222 1410 1495 1794 1833 2162 2990 3055 3243 3666 4485 5405 6110 6486 8970 9165 10810 14053 16215 18330 28106 32430 42159 70265 72109 84318 140530 144218 210795 216327 360545 421590 432654 721090 937417 1081635 1658507 1874834 2163270 2812251 3317014 3389123 4687085 4975521 5624502 6778246 8292535 9374170 9951042 10167369 14061255 16585070 16945615 20334738 21560591 24877605 28122510 33891230 43121182 44058599 49755210 50836845 64681773 77949829 88117198 101673690 107802955 129363546 132175797 155899658 215605910 220292995 233849487 264351594 323408865 389749145 440585990 467698974 646817730 660878985 779498290 1013347777 1169247435 1321757970 2026695554 2338494870 3040043331 5066738885 6080086662 10133477770 15200216655 30400433310