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34421010240 = 263547762877
BaseRepresentation
bin100000000011101001…
…101110111101000000
310021211212012111022010
4200003221232331000
51030443234311430
623451321412520
72325661521351
oct400351567500
9107755174263
1034421010240
1113663843501
12680763a140
1333272a32a6
141947671d28
15d66d12cb0
hex803a6ef40

34421010240 has 112 divisors (see below), whose sum is σ = 111612102912. Its totient is φ = 8983627776.

The previous prime is 34421010229. The next prime is 34421010257. The reversal of 34421010240 is 4201012443.

It is a congruent number.

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, 336319 + ... + 426558.

Almost surely, 234421010240 is an apocalyptic number.

34421010240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34421010240 is an abundant number, since it is smaller than the sum of its proper divisors (77191092672).

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

34421010240 is a wasteful number, since it uses less digits than its factorization.

34421010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762944 (or 762934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34421010240 its reverse (4201012443), we get a palindrome (38622022683).

The spelling of 34421010240 in words is "thirty-four billion, four hundred twenty-one million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 762877 1525754 2288631 3051508 3814385 4577262 6103016 7628770 9154524 11443155 12206032 15257540 18309048 22886310 24412064 30515080 35855219 36618096 45772620 48824128 61030160 71710438 73236192 91545240 107565657 122060320 143420876 146472384 179276095 183090480 215131314 244120640 286841752 358552190 366180960 430262628 537828285 573683504 717104380 732361920 860525256 1075656570 1147367008 1434208760 1721050512 2151313140 2294734016 2868417520 3442101024 4302626280 5736835040 6884202048 8605252560 11473670080 17210505120 34421010240