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3806701340 = 2251323761499
BaseRepresentation
bin1110001011100101…
…1010011100011100
3100211021222110112112
43202321122130130
530244003420330
61425422453152
7163222266431
oct34271323434
910737873475
103806701340
111683869072
128a2a341b8
13488872700
142817d7b88
151742e1795
hexe2e5a71c

3806701340 has 144 divisors (see below), whose sum is σ = 9054108000. Its totient is φ = 1342448640.

The previous prime is 3806701337. The next prime is 3806701343. The reversal of 3806701340 is 431076083.

It is an interprime number because it is at equal distance from previous prime (3806701337) and next prime (3806701343).

It is a junction number, because it is equal to n+sod(n) for n = 3806701297 and 3806701306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806701343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7628411 + ... + 7628909.

It is an arithmetic number, because the mean of its divisors is an integer number (62875750).

Almost surely, 23806701340 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 3806701340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527054000).

3806701340 is an abundant number, since it is smaller than the sum of its proper divisors (5247406660).

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

3806701340 is a wasteful number, since it uses less digits than its factorization.

3806701340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3806701340 is about 61698.4711317874. The cubic root of 3806701340 is about 1561.4075259597.

The spelling of 3806701340 in words is "three billion, eight hundred six million, seven hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 61 65 74 122 130 148 169 185 244 260 305 338 370 481 499 610 676 740 793 845 962 998 1220 1586 1690 1924 1996 2257 2405 2495 3172 3380 3965 4514 4810 4990 6253 6487 7930 9028 9620 9980 10309 11285 12506 12974 15860 18463 20618 22570 25012 25948 29341 30439 31265 32435 36926 41236 45140 51545 58682 60878 62530 64870 73852 84331 92315 103090 117364 121756 125060 129740 146705 152195 168662 184630 206180 240019 293410 304390 337324 369260 381433 395707 421655 480038 586820 608780 762866 791414 843310 960076 1126243 1200095 1525732 1582828 1686620 1907165 1978535 2252486 2400190 3120247 3814330 3957070 4504972 4800380 5144191 5631215 6240494 7628660 7914140 10288382 11262430 12480988 14641159 15601235 20576764 22524860 25720955 29282318 31202470 51441910 58564636 62404940 73205795 102883820 146411590 190335067 292823180 380670134 761340268 951675335 1903350670 3806701340