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3364010040 = 2335191475443
BaseRepresentation
bin1100100010000010…
…1011100000111000
322200102222102020110
43020200223200320
523342141310130
61313450224320
7146235420306
oct31040534070
98612872213
103364010040
111476994596
1279a7250a0
13417c345b1
1423cabd276
1514a4e8ab0
hexc882b838

3364010040 has 64 divisors (see below), whose sum is σ = 10623196800. Its totient is φ = 849854592.

The previous prime is 3364010009. The next prime is 3364010047. The reversal of 3364010040 is 400104633.

It is a super-2 number, since 2×33640100402 = 22633127098441603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364009989 and 3364010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364010047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735442 + ... + 740001.

It is an arithmetic number, because the mean of its divisors is an integer number (165987450).

Almost surely, 23364010040 is an apocalyptic number.

3364010040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364010040 is an abundant number, since it is smaller than the sum of its proper divisors (7259186760).

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

3364010040 is a wasteful number, since it uses less digits than its factorization.

3364010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475476 (or 1475472 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3364010040 is about 58000.0865516596. The cubic root of 3364010040 is about 1498.3700873424.

Adding to 3364010040 its reverse (400104633), we get a palindrome (3764114673).

The spelling of 3364010040 in words is "three billion, three hundred sixty-four million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1475443 2950886 4426329 5901772 7377215 8852658 11803544 14754430 17705316 22131645 28033417 29508860 35410632 44263290 56066834 59017720 84100251 88526580 112133668 140167085 168200502 177053160 224267336 280334170 336401004 420501255 560668340 672802008 841002510 1121336680 1682005020 3364010040