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30346401360 = 24351144925601
BaseRepresentation
bin11100010000110010…
…010101011001010000
32220022220002220201010
4130100302111121100
5444122134320420
621535124410520
72123004104232
oct342062253120
986286086633
1030346401360
1111962830550
125a6ab46a40
132b2808b312
14167c45a252
15bc92514e0
hex710c95650

30346401360 has 160 divisors (see below), whose sum is σ = 102858595200. Its totient is φ = 7340032000.

The previous prime is 30346401359. The next prime is 30346401409. The reversal of 30346401360 is 6310464303.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172560 + ... + 1198160.

It is an arithmetic number, because the mean of its divisors is an integer number (642866220).

Almost surely, 230346401360 is an apocalyptic number.

30346401360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30346401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51429297600).

30346401360 is an abundant number, since it is smaller than the sum of its proper divisors (72512193840).

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

30346401360 is a wasteful number, since it uses less digits than its factorization.

30346401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26077 (or 26071 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 30346401360 its reverse (6310464303), we get a palindrome (36656865663).

The spelling of 30346401360 in words is "thirty billion, three hundred forty-six million, four hundred one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 449 528 660 880 898 1320 1347 1796 2245 2640 2694 3592 4490 4939 5388 6735 7184 8980 9878 10776 13470 14817 17960 19756 21552 24695 25601 26940 29634 35920 39512 49390 51202 53880 59268 74085 76803 79024 98780 102404 107760 118536 128005 148170 153606 197560 204808 237072 256010 281611 296340 307212 384015 395120 409616 512020 563222 592680 614424 768030 844833 1024040 1126444 1185360 1228848 1408055 1536060 1689666 2048080 2252888 2816110 3072120 3379332 4224165 4505776 5632220 6144240 6758664 8448330 11264440 11494849 13517328 16896660 22528880 22989698 33793320 34484547 45979396 57474245 67586640 68969094 91958792 114948490 126443339 137938188 172422735 183917584 229896980 252886678 275876376 344845470 379330017 459793960 505773356 551752752 632216695 689690940 758660034 919587920 1011546712 1264433390 1379381880 1517320068 1896650085 2023093424 2528866780 2758763760 3034640136 3793300170 5057733560 6069280272 7586600340 10115467120 15173200680 30346401360