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29340604392 = 233111071496971
BaseRepresentation
bin11011010100110101…
…100001011111101000
32210201210112010122120
4123110311201133220
5440042143320032
621251234551240
72056042010451
oct332465413750
983653463576
1029340604392
1111497008390
12582a138520
1329c78a1698
1415c4a40128
15b6acc762c
hex6d4d617e8

29340604392 has 128 divisors (see below), whose sum is σ = 81321408000. Its totient is φ = 8747628800.

The previous prime is 29340604357. The next prime is 29340604399.

29340604392 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (29340604399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4205467 + ... + 4212437.

It is an arithmetic number, because the mean of its divisors is an integer number (635323500).

Almost surely, 229340604392 is an apocalyptic number.

29340604392 is a gapful number since it is divisible by the number (22) 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 29340604392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40660704000).

29340604392 is an abundant number, since it is smaller than the sum of its proper divisors (51980803608).

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

29340604392 is a wasteful number, since it uses less digits than its factorization.

29340604392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 29340604392 in words is "twenty-nine billion, three hundred forty million, six hundred four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 149 214 264 298 321 428 447 596 642 856 894 1177 1192 1284 1639 1788 2354 2568 3278 3531 3576 4708 4917 6556 6971 7062 9416 9834 13112 13942 14124 15943 19668 20913 27884 28248 31886 39336 41826 47829 55768 63772 76681 83652 95658 127544 153362 167304 175373 191316 230043 306724 350746 382632 460086 526119 613448 701492 745897 920172 1038679 1052238 1402984 1491794 1840344 2077358 2104476 2237691 2983588 3116037 4154716 4208952 4475382 5967176 6232074 8204867 8309432 8950764 11425469 12464148 16409734 17901528 22850938 24614601 24928296 32819468 34276407 45701876 49229202 65638936 68552814 91403752 98458404 111138653 137105628 196916808 222277306 274211256 333415959 444554612 666831918 889109224 1222525183 1333663836 2445050366 2667327672 3667575549 4890100732 7335151098 9780201464 14670302196 29340604392