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3404134080 = 26335393997
BaseRepresentation
bin1100101011100110…
…1111011011000000
322210020110221002000
43022321233123000
523432424242310
61321442224000
7150233443104
oct31271573300
98706427060
103404134080
1114975aa356
127b0055000
13423342729
14244165904
1514dcc24c0
hexcae6f6c0

3404134080 has 112 divisors (see below), whose sum is σ = 12009059040. Its totient is φ = 907766784.

The previous prime is 3404134079. The next prime is 3404134091. The reversal of 3404134080 is 804314043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188359 + ... + 205638.

Almost surely, 23404134080 is an apocalyptic number.

3404134080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404134080 is an abundant number, since it is smaller than the sum of its proper divisors (8604924960).

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

3404134080 is a wasteful number, since it uses less digits than its factorization.

3404134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394023 (or 394007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3404134080 is about 58344.9576227458. The cubic root of 3404134080 is about 1504.3037997285.

It can be divided in two parts, 34041 and 34080, that added together give a square (68121 = 2612).

The spelling of 3404134080 in words is "three billion, four hundred four million, one hundred thirty-four thousand, eighty".

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 393997 787994 1181991 1575988 1969985 2363982 3151976 3545973 3939970 4727964 5909955 6303952 7091946 7879940 9455928 10637919 11819910 12607904 14183892 15759880 17729865 18911856 21275838 23639820 25215808 28367784 31519760 35459730 37823712 42551676 47279640 53189595 56735568 63039520 70919460 75647424 85103352 94559280 106379190 113471136 126079040 141838920 170206704 189118560 212758380 226942272 283677840 340413408 378237120 425516760 567355680 680826816 851033520 1134711360 1702067040 3404134080