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2373084 = 223374373
BaseRepresentation
bin1001000011010111011100
311110120021000
421003113130
51101414314
6122510300
726112420
oct11032734
94416230
102373084
111380a2a
12965390
136511bc
1445ab80
1531d209
hex2435dc

2373084 has 96 divisors (see below), whose sum is σ = 7293440. Its totient is φ = 653184.

The previous prime is 2373079. The next prime is 2373089. The reversal of 2373084 is 4803732.

2373084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2373079) and next prime (2373089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2373089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32472 + ... + 32544.

22373084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2373084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646720).

2373084 is an abundant number, since it is smaller than the sum of its proper divisors (4920356).

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

2373084 is a wasteful number, since it uses less digits than its factorization.

2373084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2373084 is about 1540.4817428324. The cubic root of 2373084 is about 133.3841944850.

It can be divided in two parts, 237 and 3084, that added together give a triangular number (3321 = T81).

The spelling of 2373084 in words is "two million, three hundred seventy-three thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 73 84 86 108 126 129 146 172 189 219 252 258 292 301 378 387 438 511 516 602 657 756 774 876 903 1022 1161 1204 1314 1533 1548 1806 1971 2044 2322 2628 2709 3066 3139 3612 3942 4599 4644 5418 6132 6278 7884 8127 9198 9417 10836 12556 13797 16254 18396 18834 21973 27594 28251 32508 37668 43946 55188 56502 65919 84753 87892 113004 131838 169506 197757 263676 339012 395514 593271 791028 1186542 2373084