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342355464 = 233311213099
BaseRepresentation
bin10100011001111…
…110111000001000
3212212012110102000
4110121332320020
51200120333324
653545511000
711324654613
oct2431767010
9785173360
10342355464
11166283800
12967a2460
1355c0a7c9
143367b17a
15200c89c9
hex1467ee08

342355464 has 96 divisors (see below), whose sum is σ = 1045380000. Its totient is φ = 103736160.

The previous prime is 342355457. The next prime is 342355477. The reversal of 342355464 is 464553243.

342355464 is a `hidden beast` number, since 3 + 42 + 3 + 554 + 64 = 666.

342355464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 19587 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (10889375).

Almost surely, 2342355464 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 342355464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522690000).

342355464 is an abundant number, since it is smaller than the sum of its proper divisors (703024536).

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

342355464 is a wasteful number, since it uses less digits than its factorization.

342355464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136 (or 13115 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 342355464 is about 18502.8501588269. The cubic root of 342355464 is about 699.5612652103.

The spelling of 342355464 in words is "three hundred forty-two million, three hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 13099 26136 26198 39297 52396 78594 104792 117891 144089 157188 235782 288178 314376 353673 432267 471564 576356 707346 864534 943128 1152712 1296801 1414692 1584979 1729068 2593602 2829384 3169958 3458136 3890403 4754937 5187204 6339916 7780806 9509874 10374408 12679832 14264811 15561612 19019748 28529622 31123224 38039496 42794433 57059244 85588866 114118488 171177732 342355464