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340215552 = 28361823
BaseRepresentation
bin10100010001110…
…100011100000000
3212201011202000000
4110101310130000
51144043344202
653432000000
711300533035
oct2421643400
9781152000
10340215552
11165051a86
1295b30000
135563b7a1
143328138c
151ed0491c
hex14474700

340215552 has 126 divisors (see below), whose sum is σ = 1018745952. Its totient is φ = 113342976.

The previous prime is 340215529. The next prime is 340215587. The reversal of 340215552 is 255512043.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185713 + ... + 187535.

Almost surely, 2340215552 is an apocalyptic number.

340215552 is a gapful number since it is divisible by the number (32) 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 340215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509372976).

340215552 is an abundant number, since it is smaller than the sum of its proper divisors (678530400).

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

340215552 is an frugal number, since it uses more digits than its factorization.

340215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 340215552 is about 18444.9329627407. The cubic root of 340215552 is about 698.1006688355.

Adding to 340215552 its reverse (255512043), we get a palindrome (595727595).

The spelling of 340215552 in words is "three hundred forty million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1823 1944 2304 2592 2916 3456 3646 3888 5184 5469 5832 6912 7292 7776 10368 10938 11664 14584 15552 16407 20736 21876 23328 29168 31104 32814 43752 46656 49221 58336 62208 65628 87504 93312 98442 116672 131256 147663 175008 186624 196884 233344 262512 295326 350016 393768 442989 466688 525024 590652 700032 787536 885978 1050048 1181304 1328967 1400064 1575072 1771956 2100096 2362608 2657934 3150144 3543912 4200192 4725216 5315868 6300288 7087824 9450432 10631736 12600576 14175648 18900864 21263472 28351296 37801728 42526944 56702592 85053888 113405184 170107776 340215552