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20346612 = 223111371167
BaseRepresentation
bin100110110011…
…1011011110100
31102021201022020
41031213123310
520202042422
62004033140
7334641366
oct115473364
942251266
1020346612
1110537790
1269927b0
1342a5120
1429b8d36
151bbd95c
hex13676f4

20346612 has 96 divisors (see below), whose sum is σ = 56899584. Its totient is φ = 5577600.

The previous prime is 20346607. The next prime is 20346617. The reversal of 20346612 is 21664302.

It is an interprime number because it is at equal distance from previous prime (20346607) and next prime (20346617).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20346617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121753 + ... + 121919.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 220346612 is an apocalyptic number.

20346612 is a gapful number since it is divisible by the number (22) 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 20346612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792).

20346612 is an abundant number, since it is smaller than the sum of its proper divisors (36552972).

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

20346612 is a wasteful number, since it uses less digits than its factorization.

20346612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20346612 is about 4510.7218934446. The cubic root of 20346612 is about 273.0008721409. Note that the first 3 decimals are identical.

It can be divided in two parts, 2034 and 6612, that added together give a triangular number (8646 = T131).

The spelling of 20346612 in words is "twenty million, three hundred forty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 71 78 132 142 143 156 167 213 284 286 334 426 429 501 572 668 781 852 858 923 1002 1562 1716 1837 1846 2004 2171 2343 2769 3124 3674 3692 4342 4686 5511 5538 6513 7348 8684 9372 10153 11022 11076 11857 13026 20306 22044 23714 23881 26052 30459 35571 40612 47428 47762 60918 71142 71643 95524 121836 130427 142284 143286 154141 260854 286572 308282 391281 462423 521708 616564 782562 924846 1565124 1695551 1849692 3391102 5086653 6782204 10173306 20346612