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36342396 = 223217431381
BaseRepresentation
bin1000101010100…
…0101001111100
32112101101101200
42022220221330
533300424041
63334535500
7620622336
oct212505174
975341350
1036342396
1119572642
1210207590
1376b5a9c
144b80456
1532cd1b6
hex22a8a7c

36342396 has 72 divisors (see below), whose sum is σ = 99603504. Its totient is φ = 11128320.

The previous prime is 36342389. The next prime is 36342419. The reversal of 36342396 is 69324363.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36342396.

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, 25626 + ... + 27006.

It is an arithmetic number, because the mean of its divisors is an integer number (1383382).

Almost surely, 236342396 is an apocalyptic number.

36342396 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 36342396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801752).

36342396 is an abundant number, since it is smaller than the sum of its proper divisors (63261108).

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

36342396 is a wasteful number, since it uses less digits than its factorization.

36342396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1446 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 36342396 is about 6028.4654763878. The cubic root of 36342396 is about 331.2362445457.

The spelling of 36342396 in words is "thirty-six million, three hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1381 1462 1548 2193 2762 2924 4143 4386 5524 6579 8286 8772 12429 13158 16572 23477 24858 26316 46954 49716 59383 70431 93908 118766 140862 178149 211293 237532 281724 356298 422586 534447 712596 845172 1009511 1068894 2019022 2137788 3028533 4038044 6057066 9085599 12114132 18171198 36342396