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34403711040 = 263353981911
BaseRepresentation
bin100000000010100111…
…101111100001000000
310021210122122121021000
4200002213233201000
51030424322223130
623445502532000
72325361501356
oct400247574100
9107718577230
1034403711040
1113654aa8346
126801897000
13332382728a
14194524b7d6
15d65547260
hex8029ef840

34403711040 has 112 divisors (see below), whose sum is σ = 121368677760. Its totient is φ = 9174320640.

The previous prime is 34403711021. The next prime is 34403711047. The reversal of 34403711040 is 4011730443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34403710995 and 34403711013.

It is not an unprimeable number, because it can be changed into a prime (34403711047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982316 + ... + 1999595.

Almost surely, 234403711040 is an apocalyptic number.

34403711040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34403711040 is an abundant number, since it is smaller than the sum of its proper divisors (86964966720).

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

34403711040 is a wasteful number, since it uses less digits than its factorization.

34403711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981937 (or 3981921 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 34403711040 in words is "thirty-four billion, four hundred three million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 3981911 7963822 11945733 15927644 19909555 23891466 31855288 35837199 39819110 47782932 59728665 63710576 71674398 79638220 95565864 107511597 119457330 127421152 143348796 159276440 179185995 191131728 215023194 238914660 254842304 286697592 318552880 358371990 382263456 430046388 477829320 537557985 573395184 637105760 716743980 764526912 860092776 955658640 1075115970 1146790368 1274211520 1433487960 1720185552 1911317280 2150231940 2293580736 2866975920 3440371104 3822634560 4300463880 5733951840 6880742208 8600927760 11467903680 17201855520 34403711040