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145333734 = 237132371163
BaseRepresentation
bin10001010100110…
…01110111100110
3101010110201101220
420222121313212
5244201134414
622231001210
73413213340
oct1052316746
9333421356
10145333734
1175045427
1240809206
1324156cc0
1415432290
15cb5bca9
hex8a99de6

145333734 has 128 divisors (see below), whose sum is σ = 380878848. Its totient is φ = 35925120.

The previous prime is 145333723. The next prime is 145333739. The reversal of 145333734 is 437333541.

It is a super-2 number, since 2×1453337342 = 42243788476765512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145333695 and 145333704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145333739) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891537 + ... + 891699.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2145333734 is an apocalyptic number.

145333734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145333734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439424).

145333734 is an abundant number, since it is smaller than the sum of its proper divisors (235545114).

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

145333734 is a wasteful number, since it uses less digits than its factorization.

145333734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its digits is 45360, while the sum is 33.

The square root of 145333734 is about 12055.4441643599. Note that the first 3 decimals coincide. The cubic root of 145333734 is about 525.7615360934.

The spelling of 145333734 in words is "one hundred forty-five million, three hundred thirty-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 71 78 91 138 142 161 163 182 213 273 299 322 326 426 483 489 497 546 598 897 923 966 978 994 1141 1491 1633 1794 1846 2093 2119 2282 2769 2982 3266 3423 3749 4186 4238 4899 5538 6279 6357 6461 6846 7498 9798 11247 11431 11573 12558 12714 12922 14833 19383 21229 22494 22862 23146 26243 29666 34293 34719 38766 42458 44499 48737 52486 63687 68586 69438 78729 81011 88998 97474 127374 146211 148603 150449 157458 162022 243033 266179 292422 297206 300898 341159 445809 451347 486066 532358 682318 798537 891618 902694 1023477 1053143 1597074 1863253 2046954 2106286 3159429 3460327 3726506 5589759 6318858 6920654 10380981 11179518 20761962 24222289 48444578 72666867 145333734