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241996032 = 2833157223
BaseRepresentation
bin11100110110010…
…01000100000000
3121212100200011000
432123021010000
5443422333112
640002452000
75665634535
oct1633110400
9555320130
10241996032
11114667223
1269064000
133b19c525
14241d4d8c
15163a27dc
hexe6c9100

241996032 has 144 divisors (see below), whose sum is σ = 723412480. Its totient is φ = 79792128.

The previous prime is 241996019. The next prime is 241996043. The reversal of 241996032 is 230699142.

241996032 is a `hidden beast` number, since 2 + 41 + 9 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085073 + ... + 1085295.

Almost surely, 2241996032 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 241996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361706240).

241996032 is an abundant number, since it is smaller than the sum of its proper divisors (481416448).

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

241996032 is a wasteful number, since it uses less digits than its factorization.

241996032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 241996032 is about 15556.2216492309. The cubic root of 241996032 is about 623.1645624535.

The spelling of 241996032 in words is "two hundred forty-one million, nine hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 157 192 216 223 256 288 314 384 432 446 471 576 628 669 768 864 892 942 1152 1256 1338 1413 1728 1784 1884 2007 2304 2512 2676 2826 3456 3568 3768 4014 4239 5024 5352 5652 6021 6912 7136 7536 8028 8478 10048 10704 11304 12042 14272 15072 16056 16956 20096 21408 22608 24084 28544 30144 32112 33912 35011 40192 42816 45216 48168 57088 60288 64224 67824 70022 85632 90432 96336 105033 120576 128448 135648 140044 171264 180864 192672 210066 256896 271296 280088 315099 361728 385344 420132 513792 542592 560176 630198 770688 840264 945297 1085184 1120352 1260396 1541376 1680528 1890594 2240704 2520792 3361056 3781188 4481408 5041584 6722112 7562376 8962816 10083168 13444224 15124752 20166336 26888448 30249504 40332672 60499008 80665344 120998016 241996032