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2996352 = 2734172
BaseRepresentation
bin1011011011100010000000
312122020020000
423123202000
51231340402
6144120000
734316502
oct13334200
95566200
102996352
111767227
121006000
1380bab8
1457dd72
153e2c1c
hex2db880

2996352 has 120 divisors (see below), whose sum is σ = 9472485. Its totient is φ = 940032.

The previous prime is 2996347. The next prime is 2996377. The reversal of 2996352 is 2536992.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2996352 is digitally balanced in base 5, 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 2 ways, for example, as 2742336 + 254016 = 1656^2 + 504^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1224.

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

Its product of digits (29160) is a multiple of the sum of its prime factors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 176248 + ... + 176264.

22996352 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 2996352

2996352 is an abundant number, since it is smaller than the sum of its proper divisors (6476133).

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

2996352 is an equidigital number, since it uses as much as digits as its factorization.

2996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 22 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2996352 is about 1730.9974003447. The cubic root of 2996352 is about 144.1664741367.

The spelling of 2996352 in words is "two million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 289 306 324 384 408 432 459 544 576 578 612 648 816 864 867 918 1088 1152 1156 1224 1296 1377 1632 1728 1734 1836 2176 2312 2448 2592 2601 2754 3264 3456 3468 3672 4624 4896 5184 5202 5508 6528 6936 7344 7803 9248 9792 10368 10404 11016 13872 14688 15606 18496 19584 20808 22032 23409 27744 29376 31212 36992 41616 44064 46818 55488 58752 62424 83232 88128 93636 110976 124848 166464 176256 187272 249696 332928 374544 499392 749088 998784 1498176 2996352