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342100640 = 25572811087
BaseRepresentation
bin10100011001000…
…000101010100000
3212211201111212002
4110121000222200
51200034210030
653540223132
711322543650
oct2431005240
9784644762
10342100640
1116611a302
129669aaa8
1355b4b81b
1433612360
1520078245
hex14640aa0

342100640 has 96 divisors (see below), whose sum is σ = 927811584. Its totient is φ = 116766720.

The previous prime is 342100621. The next prime is 342100657. The reversal of 342100640 is 46001243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 314177 + ... + 315263.

It is an arithmetic number, because the mean of its divisors is an integer number (9664704).

Almost surely, 2342100640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463905792).

342100640 is an abundant number, since it is smaller than the sum of its proper divisors (585710944).

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

342100640 is a wasteful number, since it uses less digits than its factorization.

342100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 342100640 is about 18495.9628027308. The cubic root of 342100640 is about 699.3876549660.

Adding to 342100640 its reverse (46001243), we get a palindrome (388101883).

The spelling of 342100640 in words is "three hundred forty-two million, one hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 281 560 562 1087 1120 1124 1405 1967 2174 2248 2810 3934 4348 4496 5435 5620 7609 7868 8696 8992 9835 10870 11240 15218 15736 17392 19670 21740 22480 30436 31472 34784 38045 39340 43480 44960 60872 62944 76090 78680 86960 121744 152180 157360 173920 243488 304360 305447 314720 608720 610894 1217440 1221788 1527235 2138129 2443576 3054470 4276258 4887152 6108940 8552516 9774304 10690645 12217880 17105032 21381290 24435760 34210064 42762580 48871520 68420128 85525160 171050320 342100640