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3413236002 = 2311231714831
BaseRepresentation
bin1100101101110001…
…1101100100100010
322210212121100120020
43023130131210202
523442242023002
61322405254310
7150404012241
oct31334354442
98725540506
103413236002
1114a1756800
127b3104396
134251ab597
14245454958
1514e9be2bc
hexcb71d922

3413236002 has 48 divisors (see below), whose sum is σ = 7527655296. Its totient is φ = 1030981600.

The previous prime is 3413235967. The next prime is 3413236003. The reversal of 3413236002 is 2006323143.

3413236002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3413236003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222727 + ... + 237557.

It is an arithmetic number, because the mean of its divisors is an integer number (156826152).

Almost surely, 23413236002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413236002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763827648).

3413236002 is an abundant number, since it is smaller than the sum of its proper divisors (4114419294).

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

3413236002 is a wasteful number, since it uses less digits than its factorization.

3413236002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3413236002 is about 58422.9064836730. The cubic root of 3413236002 is about 1505.6433347781.

Adding to 3413236002 its reverse (2006323143), we get a palindrome (5419559145).

The spelling of 3413236002 in words is "three billion, four hundred thirteen million, two hundred thirty-six thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 317 363 634 726 951 1902 3487 6974 10461 14831 20922 29662 38357 44493 76714 88986 115071 163141 230142 326282 489423 978846 1794551 3589102 4701427 5383653 9402854 10767306 14104281 28208562 51715697 103431394 155147091 310294182 568872667 1137745334 1706618001 3413236002