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34210211640 = 23351125916827
BaseRepresentation
bin11111110111000101…
…100110011100111000
310021022011112210222120
4133313011212130320
51030030303233030
623414351321240
72320522000233
oct376705463470
9107264483876
1034210211640
1113565855390
126768b20220
1332c2707aa7
14192767c41a
15d53574010
hex7f7166738

34210211640 has 64 divisors (see below), whose sum is σ = 111960696960. Its totient is φ = 8293384320.

The previous prime is 34210211639. The next prime is 34210211641. The reversal of 34210211640 is 4611201243.

It is an interprime number because it is at equal distance from previous prime (34210211639) and next prime (34210211641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34210211640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210211641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12957094 + ... + 12959733.

It is an arithmetic number, because the mean of its divisors is an integer number (1749385890).

Almost surely, 234210211640 is an apocalyptic number.

34210211640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34210211640 is an abundant number, since it is smaller than the sum of its proper divisors (77750485320).

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

34210211640 is a wasteful number, since it uses less digits than its factorization.

34210211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25916852 (or 25916848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34210211640 its reverse (4611201243), we get a palindrome (38821412883).

The spelling of 34210211640 in words is "thirty-four billion, two hundred ten million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 25916827 51833654 77750481 103667308 129584135 155500962 207334616 259168270 285085097 311001924 388752405 518336540 570170194 622003848 777504810 855255291 1036673080 1140340388 1425425485 1555009620 1710510582 2280680776 2850850970 3110019240 3421021164 4276276455 5701701940 6842042328 8552552910 11403403880 17105105820 34210211640