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4340692664 = 2371123319883
BaseRepresentation
bin1000000101011100…
…11011011010111000
3102012111210000220222
410002232123122320
532342204131124
61554420035212
7212365164440
oct40256333270
912174700828
104340692664
111928231710
12a11832b08
135423993c9
142d26bb120
151a612125e
hex102b9b6b8

4340692664 has 128 divisors (see below), whose sum is σ = 10930913280. Its totient is φ = 1565308800.

The previous prime is 4340692627. The next prime is 4340692669. The reversal of 4340692664 is 4662960434.

It is a super-2 number, since 2×43406926642 = 37683225606606833792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340692669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434267 + ... + 444149.

It is an arithmetic number, because the mean of its divisors is an integer number (85397760).

Almost surely, 24340692664 is an apocalyptic number.

4340692664 is a gapful number since it is divisible by the number (44) 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 4340692664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465456640).

4340692664 is an abundant number, since it is smaller than the sum of its proper divisors (6590220616).

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

4340692664 is a wasteful number, since it uses less digits than its factorization.

4340692664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 4340692664 is about 65883.9332766343. The cubic root of 4340692664 is about 1631.2468240197.

The spelling of 4340692664 in words is "four billion, three hundred forty million, six hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 31 44 46 56 62 77 88 92 124 154 161 184 217 248 253 308 322 341 434 506 616 644 682 713 868 1012 1288 1364 1426 1736 1771 2024 2387 2728 2852 3542 4774 4991 5704 7084 7843 9548 9883 9982 14168 15686 19096 19766 19964 31372 39532 39928 54901 62744 69181 79064 108713 109802 138362 217426 219604 227309 276724 306373 434852 439208 454618 553448 612746 760991 869704 909236 1225492 1521982 1591163 1818472 2144611 2450984 2500399 3043964 3182326 3370103 4289222 5000798 6087928 6364652 6740206 7046579 8578444 10001596 12729304 13480412 14093158 17156888 17502793 20003192 23590721 26960824 28186316 35005586 47181442 49326053 56372632 70011172 77512369 94362884 98652106 140022344 155024738 188725768 197304212 310049476 394608424 542586583 620098952 1085173166 2170346332 4340692664