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4020341634 = 2333716712049
BaseRepresentation
bin1110111110100001…
…1000101110000010
3101101011222111221000
43233220120232002
531213201413014
61502533512430
7201425224431
oct35750305602
911334874830
104020341634
1117834181a1
129424a2716
134c0bc449a
142a1d2b118
15187e42509
hexefa18b82

4020341634 has 64 divisors (see below), whose sum is σ = 9231264000. Its totient is φ = 1295979264.

The previous prime is 4020341627. The next prime is 4020341641. The reversal of 4020341634 is 4361430204.

4020341634 is a `hidden beast` number, since 4 + 0 + 20 + 3 + 4 + 1 + 634 = 666.

4020341634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4020341627) and next prime (4020341641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4020341598 and 4020341607.

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, 327642 + ... + 339690.

It is an arithmetic number, because the mean of its divisors is an integer number (144238500).

Almost surely, 24020341634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020341634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615632000).

4020341634 is an abundant number, since it is smaller than the sum of its proper divisors (5210922366).

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

4020341634 is a wasteful number, since it uses less digits than its factorization.

4020341634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4020341634 is about 63406.1640063488. The cubic root of 4020341634 is about 1590.0873643701.

Adding to 4020341634 its reverse (4361430204), we get a palindrome (8381771838).

The spelling of 4020341634 in words is "four billion, twenty million, three hundred forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 167 222 333 334 501 666 999 1002 1503 1998 3006 4509 6179 9018 12049 12358 18537 24098 36147 37074 55611 72294 108441 111222 166833 216882 325323 333666 445813 650646 891626 1337439 2012183 2674878 4012317 4024366 6036549 8024634 12036951 12073098 18109647 24073902 36219294 54328941 74450771 108657882 148901542 223352313 446704626 670056939 1340113878 2010170817 4020341634