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342003303424032 = 25341151575437637
BaseRepresentation
bin100110111000011001101100…
…1011010011010000000100000
31122211221012022020200202222220
41031300303121122122000200
5324311340231134032112
63211214052033231040
7132015631452634545
oct11560633132320040
91584835266622886
10342003303424032
1199a77871858788
1232436646402480
13118aaa08744603
1460650963ccbcc
15298145658598c
hex1370cd969a020

342003303424032 has 96 divisors (see below), whose sum is σ = 925745658009984. Its totient is φ = 110484026112000.

The previous prime is 342003303423907. The next prime is 342003303424061. The reversal of 342003303424032 is 230424303300243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 342003303423984 and 342003303424002.

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, 287124483 + ... + 288313154.

It is an arithmetic number, because the mean of its divisors is an integer number (9643183937604).

Almost surely, 2342003303424032 is an apocalyptic number.

342003303424032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342003303424032 is an abundant number, since it is smaller than the sum of its proper divisors (583742354585952).

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

342003303424032 is a wasteful number, since it uses less digits than its factorization.

342003303424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575437842 (or 575437834 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 342003303424032 its reverse (230424303300243), we get a palindrome (572427606724275).

The spelling of 342003303424032 in words is "three hundred forty-two trillion, three billion, three hundred three million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 151 164 246 302 328 453 492 604 656 906 984 1208 1312 1812 1968 2416 3624 3936 4832 6191 7248 12382 14496 18573 24764 37146 49528 74292 99056 148584 198112 297168 594336 575437637 1150875274 1726312911 2301750548 3452625822 4603501096 6905251644 9207002192 13810503288 18414004384 23592943117 27621006576 47185886234 55242013152 70778829351 86891083187 94371772468 141557658702 173782166374 188743544936 260673249561 283115317404 347564332748 377487089872 521346499122 566230634808 695128665496 754974179744 1042692998244 1132461269616 1390257330992 2085385996488 2264922539232 2780514661984 3562534410667 4170771992976 7125068821334 8341543985952 10687603232001 14250137642668 21375206464002 28500275285336 42750412928004 57000550570672 85500825856008 114001101141344 171001651712016 342003303424032