Search a number
-
+
3850402320 = 2432543124367
BaseRepresentation
bin1110010110000000…
…0111101000010000
3100221100012201000100
43211200013220100
530341200333240
61434023252400
7164262610512
oct34540075020
910840181010
103850402320
1116a64a7286
128b55aa100
1349493398b
14287531bb2
15178074e30
hexe5807a10

3850402320 has 120 divisors (see below), whose sum is σ = 13231760256. Its totient is φ = 1002887424.

The previous prime is 3850402273. The next prime is 3850402327. The reversal of 3850402320 is 232040583.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×38504023202 = 29651196051722764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3850402327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31224 + ... + 93143.

Almost surely, 23850402320 is an apocalyptic number.

3850402320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3850402320 is an abundant number, since it is smaller than the sum of its proper divisors (9381357936).

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

3850402320 is a wasteful number, since it uses less digits than its factorization.

3850402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124429 (or 124420 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3850402320 is about 62051.6101322117. The cubic root of 3850402320 is about 1567.3597991254.

The spelling of 3850402320 in words is "three billion, eight hundred fifty million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 124367 248734 373101 497468 621835 746202 994936 1119303 1243670 1492404 1865505 1989872 2238606 2487340 2984808 3731010 4477212 4974680 5347781 5596515 5969616 7462020 8954424 9949360 10695562 11193030 14924040 16043343 17908848 21391124 22386060 26738905 29848080 32086686 42782248 44772120 48130029 53477810 64173372 80216715 85564496 89544240 96260058 106955620 128346744 160433430 192520116 213911240 240650145 256693488 320866860 385040232 427822480 481300290 641733720 770080464 962600580 1283467440 1925201160 3850402320