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153342312 = 2331719131151
BaseRepresentation
bin10010010001111…
…01000101101000
3101200112121002220
421020331011220
5303223423222
623114354040
73541250064
oct1110750550
9350477086
10153342312
1179615392
124342b920
13259cc2c6
1416518aa4
15d6deb5c
hex923d168

153342312 has 128 divisors (see below), whose sum is σ = 433382400. Its totient is φ = 44928000.

The previous prime is 153342289. The next prime is 153342313. The reversal of 153342312 is 213243351.

153342312 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 (24).

It is not an unprimeable number, because it can be changed into a prime (153342313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015437 + ... + 1015587.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 2153342312 is an apocalyptic number.

153342312 is a gapful number since it is divisible by the number (12) 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 153342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216691200).

153342312 is an abundant number, since it is smaller than the sum of its proper divisors (280040088).

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

153342312 is a wasteful number, since it uses less digits than its factorization.

153342312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 153342312 is about 12383.1462884034. The cubic root of 153342312 is about 535.2467048644.

Adding to 153342312 its reverse (213243351), we get a palindrome (366585663).

The spelling of 153342312 in words is "one hundred fifty-three million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 131 136 151 152 204 228 262 302 323 393 408 453 456 524 604 646 786 906 969 1048 1208 1292 1572 1812 1938 2227 2489 2567 2584 2869 3144 3624 3876 4454 4978 5134 5738 6681 7467 7701 7752 8607 8908 9956 10268 11476 13362 14934 15402 17214 17816 19781 19912 20536 22952 26724 29868 30804 34428 39562 42313 48773 53448 59343 59736 61608 68856 79124 84626 97546 118686 126939 146319 158248 169252 195092 237372 253878 292638 336277 338504 375839 390184 474744 507756 585276 672554 751678 1008831 1015512 1127517 1170552 1345108 1503356 2017662 2255034 2690216 3006712 4035324 4510068 6389263 8070648 9020136 12778526 19167789 25557052 38335578 51114104 76671156 153342312