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342121752 = 233371911909
BaseRepresentation
bin10100011001000…
…101110100011000
3212211202120211000
4110121011310120
51200040344002
653540505000
711322662340
oct2431056430
9784676730
10342121752
11166134155
12966ab160
1355b5830b
1433619d20
152007e61c
hex14645d18

342121752 has 128 divisors (see below), whose sum is σ = 1143360000. Its totient is φ = 92596608.

The previous prime is 342121739. The next prime is 342121763. The reversal of 342121752 is 257121243.

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 31 ways as a sum of consecutive naturals, for example, 22774 + ... + 34682.

It is an arithmetic number, because the mean of its divisors is an integer number (8932500).

Almost surely, 2342121752 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 342121752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571680000).

342121752 is an abundant number, since it is smaller than the sum of its proper divisors (801238248).

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

342121752 is a wasteful number, since it uses less digits than its factorization.

342121752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11950 (or 11940 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 342121752 is about 18496.5335130667. The cubic root of 342121752 is about 699.4020417348.

Adding to 342121752 its reverse (257121243), we get a palindrome (599242995).

The spelling of 342121752 in words is "three hundred forty-two million, one hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 11909 14364 23818 28728 35727 47636 71454 83363 95272 107181 142908 166726 214362 226271 250089 285816 321543 333452 428724 452542 500178 643086 666904 678813 750267 857448 905084 1000356 1286172 1357626 1500534 1583897 1810168 2000712 2036439 2250801 2572344 2715252 3001068 3167794 4072878 4501602 4751691 5430504 6002136 6109317 6335588 8145756 9003204 9503382 12218634 12671176 14255073 16291512 18006408 19006764 24437268 28510146 38013528 42765219 48874536 57020292 85530438 114040584 171060876 342121752