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34103000340 = 22325191991943
BaseRepresentation
bin11111110000101100…
…100111110100010100
310021000200210220201200
4133300230213310110
51024320332002330
623400001352500
72315050501653
oct376054476424
9107020726650
1034103000340
1113510288a02
126739038730
1332a643ab56
14191733119a
15d48e47a60
hex7f0b27d14

34103000340 has 72 divisors (see below), whose sum is σ = 103987473408. Its totient is φ = 9046511040.

The previous prime is 34103000291. The next prime is 34103000359. The reversal of 34103000340 is 4300030143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461592 + ... + 530351.

It is an arithmetic number, because the mean of its divisors is an integer number (1444270464).

Almost surely, 234103000340 is an apocalyptic number.

34103000340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34103000340 is an abundant number, since it is smaller than the sum of its proper divisors (69884473068).

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

34103000340 is a wasteful number, since it uses less digits than its factorization.

34103000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992149 (or 992144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34103000340 its reverse (4300030143), we get a palindrome (38403030483).

The spelling of 34103000340 in words is "thirty-four billion, one hundred three million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 991943 1983886 2975829 3967772 4959715 5951658 8927487 9919430 11903316 14879145 17854974 19838860 29758290 35709948 44637435 59516580 89274870 178549740 189461113 378922226 568383339 757844452 947305565 1136766678 1705150017 1894611130 2273533356 2841916695 3410300034 3789222260 5683833390 6820600068 8525750085 11367666780 17051500170 34103000340