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342475920 = 243251313631
BaseRepresentation
bin10100011010011…
…100010010010000
3212212102120122100
4110122130102100
51200133212140
653552240400
711325666033
oct2432342220
9785376570
10342475920
11166356256
1296840100
1355c50597
14336ad01a
15200ee530
hex1469c490

342475920 has 120 divisors (see below), whose sum is σ = 1159247232. Its totient is φ = 90604800.

The previous prime is 342475909. The next prime is 342475933. The reversal of 342475920 is 29574243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92505 + ... + 96135.

Almost surely, 2342475920 is an apocalyptic number.

342475920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579623616).

342475920 is an abundant number, since it is smaller than the sum of its proper divisors (816771312).

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

342475920 is a wasteful number, since it uses less digits than its factorization.

342475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 342475920 is about 18506.1049386412. The cubic root of 342475920 is about 699.6433012612.

The spelling of 342475920 in words is "three hundred forty-two million, four hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3631 3930 4716 5240 5895 6288 7262 7860 9432 10480 10893 11790 14524 15720 18155 18864 21786 23580 29048 31440 32679 36310 43572 47160 54465 58096 65358 72620 87144 94320 108930 130716 145240 163395 174288 217860 261432 290480 326790 435720 475661 522864 653580 871440 951322 1307160 1426983 1902644 2378305 2614320 2853966 3805288 4280949 4756610 5707932 7134915 7610576 8561898 9513220 11415864 14269830 17123796 19026440 21404745 22831728 28539660 34247592 38052880 42809490 57079320 68495184 85618980 114158640 171237960 342475920