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3418425120 = 253511647429
BaseRepresentation
bin1100101111000001…
…0000011100100000
322211020100222200210
43023300100130200
524000104100440
61323112414120
7150466063665
oct31360203440
98736328623
103418425120
1114a4680430
127b49a7340
134262a7476
14246005a6c
15150196a80
hexcbc10720

3418425120 has 96 divisors (see below), whose sum is σ = 11746969920. Its totient is φ = 828707840.

The previous prime is 3418425107. The next prime is 3418425121. The reversal of 3418425120 is 215248143.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3418425121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318435 + ... + 328994.

It is an arithmetic number, because the mean of its divisors is an integer number (122364270).

Almost surely, 23418425120 is an apocalyptic number.

3418425120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3418425120 is an abundant number, since it is smaller than the sum of its proper divisors (8328544800).

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

3418425120 is a wasteful number, since it uses less digits than its factorization.

3418425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647458 (or 647450 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3418425120 is about 58467.2995784823. The cubic root of 3418425120 is about 1506.4059546630.

The spelling of 3418425120 in words is "three billion, four hundred eighteen million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 647429 1294858 1942287 2589716 3237145 3884574 5179432 6474290 7121719 7769148 9711435 10358864 12948580 14243438 15538296 19422870 20717728 21365157 25897160 28486876 31076592 35608595 38845740 42730314 51794320 56973752 62153184 71217190 77691480 85460628 103588640 106825785 113947504 142434380 155382960 170921256 213651570 227895008 284868760 310765920 341842512 427303140 569737520 683685024 854606280 1139475040 1709212560 3418425120