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60345468 = 223223312351
BaseRepresentation
bin1110011000110…
…0110001111100
311012112212102100
43212030301330
5110422023333
65553225100
71331633211
oct346146174
9135485370
1060345468
1131077497
1218262190
13c66b2a1
14802bb08
155470213
hex398cc7c

60345468 has 72 divisors (see below), whose sum is σ = 164376576. Its totient is φ = 18612000.

The previous prime is 60345457. The next prime is 60345473. The reversal of 60345468 is 86454306.

60345468 is a `hidden beast` number, since 603 + 4 + 5 + 46 + 8 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24493 + ... + 26843.

It is an arithmetic number, because the mean of its divisors is an integer number (2283008).

Almost surely, 260345468 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 60345468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188288).

60345468 is an abundant number, since it is smaller than the sum of its proper divisors (104031108).

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

60345468 is a wasteful number, since it uses less digits than its factorization.

60345468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 60345468 is about 7768.2345484672. The cubic root of 60345468 is about 392.2366941343.

The spelling of 60345468 in words is "sixty million, three hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2351 2852 4278 4702 6417 7053 8556 9404 12834 14106 21159 25668 28212 42318 54073 72881 84636 108146 145762 162219 216292 218643 291524 324438 437286 486657 648876 655929 874572 973314 1311858 1676263 1946628 2623716 3352526 5028789 6705052 10057578 15086367 20115156 30172734 60345468