Search a number
-
+
79340016 = 243736179
BaseRepresentation
bin1001011101010…
…10000111110000
312112021220001010
410232222013300
5130302340031
611512310520
71652244000
oct456520760
9175256033
1079340016
1140870368
12226a2440
131358bb72
14a774000
156e73246
hex4baa1f0

79340016 has 160 divisors (see below), whose sum is σ = 246016000. Its totient is φ = 22014720.

The previous prime is 79340011. The next prime is 79340017. The reversal of 79340016 is 61004397.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79340011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004265 + ... + 1004343.

It is an arithmetic number, because the mean of its divisors is an integer number (1537600).

Almost surely, 279340016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123008000).

79340016 is an abundant number, since it is smaller than the sum of its proper divisors (166675984).

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

79340016 is a wasteful number, since it uses less digits than its factorization.

79340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 79340016 is about 8907.3012747970. The cubic root of 79340016 is about 429.6987542115.

The spelling of 79340016 in words is "seventy-nine million, three hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 79 84 98 112 122 147 158 168 183 196 237 244 294 316 336 343 366 392 427 474 488 553 588 632 686 732 784 854 948 976 1029 1106 1176 1264 1281 1372 1464 1659 1708 1896 2058 2212 2352 2562 2744 2928 2989 3318 3416 3792 3871 4116 4424 4819 5124 5488 5978 6636 6832 7742 8232 8848 8967 9638 10248 11613 11956 13272 14457 15484 16464 17934 19276 20496 20923 23226 23912 26544 27097 28914 30968 33733 35868 38552 41846 46452 47824 54194 57828 61936 62769 67466 71736 77104 81291 83692 92904 101199 108388 115656 125538 134932 143472 162582 167384 185808 202398 216776 231312 236131 251076 269864 325164 334768 404796 433552 472262 502152 539728 650328 708393 809592 944524 1004304 1300656 1416786 1619184 1652917 1889048 2833572 3305834 3778096 4958751 5667144 6611668 9917502 11334288 13223336 19835004 26446672 39670008 79340016