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3467940336 = 243277347129
BaseRepresentation
bin1100111010110100…
…1001000111110000
322221200112121210200
43032231021013300
524100243042321
61332041555200
7151640002140
oct31655110760
98850477720
103467940336
11151a61a9a3
128094a5b00
13433623003
1424c814920
151546c7d26
hexceb491f0

3467940336 has 120 divisors (see below), whose sum is σ = 11244086880. Its totient is φ = 977246208.

The previous prime is 3467940317. The next prime is 3467940353. The reversal of 3467940336 is 6330497643.

3467940336 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 2×34679403362 = 24053220348111585792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3467940291 and 3467940300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50020 + ... + 97148.

It is an arithmetic number, because the mean of its divisors is an integer number (93700724).

Almost surely, 23467940336 is an apocalyptic number.

3467940336 is a gapful number since it is divisible by the number (36) 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 3467940336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622043440).

3467940336 is an abundant number, since it is smaller than the sum of its proper divisors (7776146544).

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

3467940336 is a wasteful number, since it uses less digits than its factorization.

3467940336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47223 (or 47214 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3467940336 is about 58889.2208812445. The cubic root of 3467940336 is about 1513.6444483600.

The spelling of 3467940336 in words is "three billion, four hundred sixty-seven million, nine hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1168 1314 1533 1752 2044 2628 3066 3504 4088 4599 5256 6132 8176 9198 10512 12264 18396 24528 36792 47129 73584 94258 141387 188516 282774 329903 377032 424161 565548 659806 754064 848322 989709 1131096 1319612 1696644 1979418 2262192 2639224 2969127 3393288 3440417 3958836 5278448 5938254 6786576 6880834 7917672 10321251 11876508 13761668 15835344 20642502 23753016 24082919 27523336 30963753 41285004 47506032 48165838 55046672 61927506 72248757 82570008 96331676 123855012 144497514 165140016 192663352 216746271 247710024 288995028 385326704 433492542 495420048 577990056 866985084 1155980112 1733970168 3467940336