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34144362 = 2337591531
BaseRepresentation
bin1000001001000…
…0000001101010
32101020201021000
42002100001222
532220104422
63215455430
7563136150
oct202200152
971221230
1034144362
111830118a
12b527576
1370c6485
14476b3d0
152ee6cac
hex209006a

34144362 has 64 divisors (see below), whose sum is σ = 88243200. Its totient is φ = 9583920.

The previous prime is 34144343. The next prime is 34144417. The reversal of 34144362 is 26344143.

It can be divided in two parts, 3414 and 4362, that added together give a 5-th power (7776 = 65).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21537 + ... + 23067.

It is an arithmetic number, because the mean of its divisors is an integer number (1378800).

Almost surely, 234144362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44121600).

34144362 is an abundant number, since it is smaller than the sum of its proper divisors (54098838).

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

34144362 is a wasteful number, since it uses less digits than its factorization.

34144362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34144362 is about 5843.3177219795. The cubic root of 34144362 is about 324.4190394281.

The spelling of 34144362 in words is "thirty-four million, one hundred forty-four thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1531 1593 2478 3062 3186 3717 4593 7434 9186 10717 11151 13779 21434 22302 27558 32151 41337 64302 82674 90329 96453 180658 192906 270987 289359 541974 578718 632303 812961 1264606 1625922 1896909 2438883 3793818 4877766 5690727 11381454 17072181 34144362