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18342972 = 22323747293
BaseRepresentation
bin100010111111…
…0010000111100
31021111220211100
41011332100330
514143433342
61453053100
7311625024
oct105762074
937456740
1018342972
11a39938a
126187190
133a5313b
142616a84
151924e4c
hex117e43c

18342972 has 72 divisors (see below), whose sum is σ = 48799296. Its totient is φ = 5802624.

The previous prime is 18342967. The next prime is 18342977. The reversal of 18342972 is 27924381.

It is an interprime number because it is at equal distance from previous prime (18342967) and next prime (18342977).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18342977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62458 + ... + 62750.

It is an arithmetic number, because the mean of its divisors is an integer number (677768).

Almost surely, 218342972 is an apocalyptic number.

18342972 is a gapful number since it is divisible by the number (12) 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 18342972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24399648).

18342972 is an abundant number, since it is smaller than the sum of its proper divisors (30456324).

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

18342972 is a wasteful number, since it uses less digits than its factorization.

18342972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 18342972 is about 4282.8695987620. The cubic root of 18342972 is about 263.7281982234.

The spelling of 18342972 in words is "eighteen million, three hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 293 333 423 444 564 586 666 846 879 1172 1332 1692 1739 1758 2637 3478 3516 5217 5274 6956 10434 10548 10841 13771 15651 20868 21682 27542 31302 32523 41313 43364 55084 62604 65046 82626 97569 123939 130092 165252 195138 247878 390276 495756 509527 1019054 1528581 2038108 3057162 4585743 6114324 9171486 18342972