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3679432344 = 23337349663
BaseRepresentation
bin1101101101001111…
…1010111010011000
3100111102111112022000
43123103322322120
530013413313334
61405035001000
7160115442000
oct33323727230
910442445260
103679432344
111618a41a85
12868299160
134683a2003
1426c949000
15168052299
hexdb4fae98

3679432344 has 128 divisors (see below), whose sum is σ = 11919360000. Its totient is φ = 1051245216.

The previous prime is 3679432321. The next prime is 3679432357. The reversal of 3679432344 is 4432349763.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3679432344.

It is a congruent number.

It is an unprimeable number.

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, 49257 + ... + 98919.

It is an arithmetic number, because the mean of its divisors is an integer number (93120000).

Almost surely, 23679432344 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 3679432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959680000).

3679432344 is an abundant number, since it is smaller than the sum of its proper divisors (8239927656).

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

3679432344 is a wasteful number, since it uses less digits than its factorization.

3679432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49699 (or 49675 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3679432344 is about 60658.3246059434. The cubic root of 3679432344 is about 1543.8091379510.

The spelling of 3679432344 in words is "three billion, six hundred seventy-nine million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 49663 74088 99326 148989 198652 297978 347641 397304 446967 595956 695282 893934 1042923 1191912 1340901 1390564 1787868 2085846 2433487 2681802 2781128 3128769 3575736 4171692 4866974 5363604 6257538 7300461 8343384 9386307 9733948 10727208 12515076 14600922 17034409 18772614 19467896 21901383 25030152 29201844 34068818 37545228 43802766 51103227 58403688 65704149 68137636 75090456 87605532 102206454 131408298 136275272 153309681 175211064 204412908 262816596 306619362 408825816 459929043 525633192 613238724 919858086 1226477448 1839716172 3679432344