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148973346 = 232172361347
BaseRepresentation
bin10001110000100…
…10011100100010
3101101022122000100
420320102130202
5301114121341
622441003230
73456152424
oct1070223442
9341278010
10148973346
1177100975
1241a83516
1324b2c812
1415adc814
15d12a3b6
hex8e12722

148973346 has 96 divisors (see below), whose sum is σ = 363512448. Its totient is φ = 43845120.

The previous prime is 148973339. The next prime is 148973347. The reversal of 148973346 is 643379841.

It is not an unprimeable number, because it can be changed into a prime (148973347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429145 + ... + 429491.

It is an arithmetic number, because the mean of its divisors is an integer number (3786588).

Almost surely, 2148973346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148973346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181756224).

148973346 is an abundant number, since it is smaller than the sum of its proper divisors (214539102).

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

148973346 is a wasteful number, since it uses less digits than its factorization.

148973346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 148973346 is about 12205.4637765224. The cubic root of 148973346 is about 530.1143054752.

The spelling of 148973346 in words is "one hundred forty-eight million, nine hundred seventy-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 61 69 102 122 138 153 183 207 306 347 366 391 414 549 694 782 1037 1041 1098 1173 1403 2074 2082 2346 2806 3111 3123 3519 4209 5899 6222 6246 7038 7981 8418 9333 11798 12627 15962 17697 18666 21167 23851 23943 25254 35394 42334 47702 47886 53091 63501 71553 71829 106182 127002 135677 143106 143658 190503 214659 271354 359839 381006 407031 429318 486841 719678 814062 973682 1079517 1221093 1460523 2159034 2442186 2921046 3238551 4381569 6477102 8276297 8763138 16552594 24828891 49657782 74486673 148973346