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323403413340 = 223572661916619
BaseRepresentation
bin1001011010011000101…
…10000111011101011100
31010220202112120121101210
410231030112013131130
520244312233211330
6404323001304420
732236144441200
oct4551426073534
91126675517353
10323403413340
11115177883117
1252817195110
132465c655b97
141191d442b00
15862c1088b0
hex4b4c58775c

323403413340 has 144 divisors (see below), whose sum is σ = 1053593654400. Its totient is φ = 73905164928.

The previous prime is 323403413251. The next prime is 323403413353. The reversal of 323403413340 is 43314304323.

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

It is a junction number, because it is equal to n+sod(n) for n = 323403413298 and 323403413307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19451551 + ... + 19468169.

It is an arithmetic number, because the mean of its divisors is an integer number (7316622600).

Almost surely, 2323403413340 is an apocalyptic number.

323403413340 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 323403413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526796827200).

323403413340 is an abundant number, since it is smaller than the sum of its proper divisors (730190241060).

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

323403413340 is a wasteful number, since it uses less digits than its factorization.

323403413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23264 (or 23255 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 323403413340 its reverse (43314304323), we get a palindrome (366717717663).

The spelling of 323403413340 in words is "three hundred twenty-three billion, four hundred three million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 6619 13238 16619 19857 26476 33095 33238 39714 46333 49857 66190 66476 79428 83095 92666 99285 99714 116333 132380 138999 166190 185332 198570 199428 231665 232666 249285 277998 324331 332380 348999 397140 463330 465332 498570 555996 581665 648662 694995 697998 814331 926660 972993 997140 1163330 1297324 1389990 1395996 1621655 1628662 1744995 1945986 2326660 2442993 2779980 3243310 3257324 3489990 3891972 4071655 4864965 4885986 6486620 6979980 8143310 9729930 9771972 12214965 16286620 19459860 24429930 48859860 110001161 220002322 330003483 440004644 550005805 660006966 770008127 1100011610 1320013932 1540016254 1650017415 2200023220 2310024381 3080032508 3300034830 3850040635 4620048762 5390056889 6600069660 7700081270 9240097524 10780113778 11550121905 15400162540 16170170667 21560227556 23100243810 26950284445 32340341334 46200487620 53900568890 64680682668 80850853335 107801137780 161701706670 323403413340