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34003421440 = 285196472161
BaseRepresentation
bin11111101010110000…
…110000100100000000
310020202202102210011021
4133222300300210000
51024114333441230
623342043155224
72312431212322
oct375260604400
9106682383137
1034003421440
111346a05489a
12670b815b14
13328b913c21
14190800d612
15d40327c7a
hex7eac30900

34003421440 has 144 divisors (see below), whose sum is σ = 85907848320. Its totient is φ = 12859637760.

The previous prime is 34003421429. The next prime is 34003421519. The reversal of 34003421440 is 4412430043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15733960 + ... + 15736120.

It is an arithmetic number, because the mean of its divisors is an integer number (596582280).

Almost surely, 234003421440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34003421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42953924160).

34003421440 is an abundant number, since it is smaller than the sum of its proper divisors (51904426880).

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

34003421440 is a wasteful number, since it uses less digits than its factorization.

34003421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34003421440 its reverse (4412430043), we get a palindrome (38415851483).

The spelling of 34003421440 in words is "thirty-four billion, three million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 647 760 1216 1280 1294 1520 2161 2432 2588 3040 3235 4322 4864 5176 6080 6470 8644 10352 10805 12160 12293 12940 17288 20704 21610 24320 24586 25880 34576 41059 41408 43220 49172 51760 61465 69152 82118 82816 86440 98344 103520 122930 138304 164236 165632 172880 196688 205295 207040 245860 276608 328472 345760 393376 410590 414080 491720 553216 656944 691520 786752 821180 828160 983440 1313888 1383040 1398167 1573504 1642360 1966880 2627776 2766080 2796334 3147008 3284720 3933760 5255552 5592668 6569440 6990835 7867520 10511104 11185336 13138880 13981670 15735040 22370672 26277760 26565173 27963340 44741344 52555520 53130346 55926680 89482688 106260692 111853360 132825865 178965376 212521384 223706720 265651730 357930752 425042768 447413440 531303460 850085536 894826880 1062606920 1700171072 1789653760 2125213840 3400342144 4250427680 6800684288 8500855360 17001710720 34003421440