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3841332390 = 233576313221
BaseRepresentation
bin1110010011110110…
…0001010010100110
3100220201010220102000
43210331201102212
530331340114030
61433101030130
7164122533540
oct34475412246
910821126360
103841332390
1116a1371975
128b2555346
13492aa955c
14286250690
15177382860
hexe4f614a6

3841332390 has 128 divisors (see below), whose sum is σ = 11729111040. Its totient is φ = 876355200.

The previous prime is 3841332377. The next prime is 3841332409. The reversal of 3841332390 is 932331483.

3841332390 is a `hidden beast` number, since 3 + 8 + 413 + 3 + 239 + 0 = 666.

3841332390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38413323902 = 29511669060926224200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190980 + ... + 1194200.

It is an arithmetic number, because the mean of its divisors is an integer number (91633680).

Almost surely, 23841332390 is an apocalyptic number.

3841332390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3841332390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864555520).

3841332390 is an abundant number, since it is smaller than the sum of its proper divisors (7887778650).

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

3841332390 is a wasteful number, since it uses less digits than its factorization.

3841332390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3841332390 is about 61978.4832825070. The cubic root of 3841332390 is about 1566.1281511662.

The spelling of 3841332390 in words is "three billion, eight hundred forty-one million, three hundred thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 631 945 1262 1890 1893 3155 3221 3786 4417 5679 6310 6442 8834 9465 9663 11358 13251 16105 17037 18930 19326 22085 22547 26502 28395 28989 32210 34074 39753 44170 45094 48315 56790 57978 66255 67641 79506 85185 86967 96630 112735 119259 132510 135282 144945 170370 173934 198765 202923 225470 238518 289890 338205 397530 405846 434835 596295 608769 676410 869670 1014615 1192590 1217538 2029230 2032451 3043845 4064902 6087690 6097353 10162255 12194706 14227157 18292059 20324510 28454314 30486765 36584118 42681471 54876177 60973530 71135785 85362942 91460295 109752354 128044413 142271570 182920590 213407355 256088826 274380885 384133239 426814710 548761770 640222065 768266478 1280444130 1920666195 3841332390