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342113520 = 24357316569
BaseRepresentation
bin10100011001000…
…011110011110000
3212211202011112010
4110121003303300
51200040113040
653540402520
711322626340
oct2431036360
9784664463
10342113520
11166128a51
12966a6440
1355b54648
1433616d20
152007be80
hex14643cf0

342113520 has 160 divisors (see below), whose sum is σ = 1251348480. Its totient is φ = 75663360.

The previous prime is 342113509. The next prime is 342113521. The reversal of 342113520 is 25311243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342113521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48796 + ... + 55364.

It is an arithmetic number, because the mean of its divisors is an integer number (7820928).

Almost surely, 2342113520 is an apocalyptic number.

342113520 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 342113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625674240).

342113520 is an abundant number, since it is smaller than the sum of its proper divisors (909234960).

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

342113520 is a wasteful number, since it uses less digits than its factorization.

342113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 342113520 is about 18496.3109835448. The cubic root of 342113520 is about 699.3964321102.

Adding to 342113520 its reverse (25311243), we get a palindrome (367424763).

The spelling of 342113520 in words is "three hundred forty-two million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 6569 7440 8680 10416 13020 13138 17360 19707 26040 26276 32845 39414 45983 52080 52552 65690 78828 91966 98535 105104 131380 137949 157656 183932 197070 203639 229915 262760 275898 315312 367864 394140 407278 459830 525520 551796 610917 689745 735728 788280 814556 919660 1018195 1103592 1221834 1379490 1425473 1576560 1629112 1839320 2036390 2207184 2443668 2758980 2850946 3054585 3258224 3678640 4072780 4276419 4887336 5517960 5701892 6109170 7127365 8145560 8552838 9774672 11035920 11403784 12218340 14254730 16291120 17105676 21382095 22807568 24436680 28509460 34211352 42764190 48873360 57018920 68422704 85528380 114037840 171056760 342113520