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2996370 = 2325132197
BaseRepresentation
bin1011011011100010010010
312122020020200
423123202102
51231340440
6144120030
734316526
oct13334222
95566220
102996370
111767243
121006016
1380bb00
1457dd86
153e2c30
hex2db892

2996370 has 72 divisors (see below), whose sum is σ = 8478756. Its totient is φ = 733824.

The previous prime is 2996347. The next prime is 2996377. The reversal of 2996370 is 736992.

2996370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1083681 + 1912689 = 1041^2 + 1383^2 .

It is not an unprimeable number, because it can be changed into a prime (2996377) 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 35 ways as a sum of consecutive naturals, for example, 15112 + ... + 15308.

22996370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239378).

2996370 is an abundant number, since it is smaller than the sum of its proper divisors (5482386).

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

2996370 is a wasteful number, since it uses less digits than its factorization.

2996370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2996370 is about 1731.0025996514. The cubic root of 2996370 is about 144.1667628201.

The spelling of 2996370 in words is "two million, nine hundred ninety-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 197 234 338 390 394 507 585 591 845 985 1014 1170 1182 1521 1690 1773 1970 2535 2561 2955 3042 3546 5070 5122 5910 7605 7683 8865 12805 15210 15366 17730 23049 25610 33293 38415 46098 66586 76830 99879 115245 166465 199758 230490 299637 332930 499395 599274 998790 1498185 2996370