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172342144 = 2713231257
BaseRepresentation
bin10100100010110…
…11101110000000
3110000021212222101
422101123232000
5323104422034
625033520144
74161612142
oct1221335600
9400255871
10172342144
1189312227
1249873054
1329922400
1418c62c92
15101e4514
hexa45bb80

172342144 has 96 divisors (see below), whose sum is σ = 385266240. Its totient is φ = 76677120.

The previous prime is 172342129. The next prime is 172342187. The reversal of 172342144 is 441243271.

172342144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670464 + ... + 670720.

It is an arithmetic number, because the mean of its divisors is an integer number (4013190).

Almost surely, 2172342144 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 172342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192633120).

172342144 is an abundant number, since it is smaller than the sum of its proper divisors (212924096).

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

172342144 is a wasteful number, since it uses less digits than its factorization.

172342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 172342144 is about 13127.9146858898. The cubic root of 172342144 is about 556.4982852548.

The spelling of 172342144 in words is "one hundred seventy-two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 257 338 403 416 496 514 676 806 832 992 1028 1352 1612 1664 1984 2056 2704 3224 3341 3968 4112 5239 5408 6448 6682 7967 8224 10478 10816 12896 13364 15934 16448 20956 21632 25792 26728 31868 32896 41912 43433 51584 53456 63736 83824 86866 103571 106912 127472 167648 173732 207142 213824 254944 335296 347464 414284 427648 509888 670592 694928 828568 1019776 1346423 1389856 1657136 2692846 2779712 3314272 5385692 5559424 6628544 10771384 13257088 21542768 43085536 86171072 172342144