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202434024 = 233134379191
BaseRepresentation
bin11000001000011…
…10010111101000
3112002220201021110
430010032113220
5403310342044
632030510320
75005442442
oct1404162750
9462821243
10202434024
11a42a5751
12579653a0
1332c2a160
141cc57492
1512b8a6b9
hexc10e5e8

202434024 has 128 divisors (see below), whose sum is σ = 567705600. Its totient is φ = 59754240.

The previous prime is 202433983. The next prime is 202434031. The reversal of 202434024 is 420434202.

202434024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059769 + ... + 1059959.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2202434024 is an apocalyptic number.

202434024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

202434024 is an abundant number, since it is smaller than the sum of its proper divisors (365271576).

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

202434024 is a wasteful number, since it uses less digits than its factorization.

202434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 202434024 is about 14227.9311215651. The cubic root of 202434024 is about 587.1663646042.

Adding to 202434024 its reverse (420434202), we get a palindrome (622868226).

The spelling of 202434024 in words is "two hundred two million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 79 86 104 129 156 158 172 191 237 258 312 316 344 382 474 516 559 573 632 764 948 1027 1032 1118 1146 1528 1677 1896 2054 2236 2292 2483 3081 3354 3397 4108 4472 4584 4966 6162 6708 6794 7449 8213 8216 9932 10191 12324 13416 13588 14898 15089 16426 19864 20382 24639 24648 27176 29796 30178 32852 40764 44161 45267 49278 59592 60356 65704 81528 88322 90534 98556 106769 120712 132483 176644 181068 196157 197112 213538 264966 320307 353288 362136 392314 427076 529932 588471 640614 648827 784628 854152 1059864 1176942 1281228 1297654 1569256 1946481 2353884 2562456 2595308 3892962 4707768 5190616 7785924 8434751 15571848 16869502 25304253 33739004 50608506 67478008 101217012 202434024