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145816374 = 2311319312
BaseRepresentation
bin10001011000011…
…11101100110110
3101011101020110110
420230033230312
5244312110444
622245203450
73420263424
oct1054175466
9334336413
10145816374
1175345000
1240a00586
13242958a2
141551a114
15cc04cb9
hex8b0fb36

145816374 has 96 divisors (see below), whose sum is σ = 348900480. Its totient is φ = 40510800.

The previous prime is 145816357. The next prime is 145816381. The reversal of 145816374 is 473618541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703739 + ... + 4703769.

It is an arithmetic number, because the mean of its divisors is an integer number (3634380).

Almost surely, 2145816374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145816374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174450240).

145816374 is an abundant number, since it is smaller than the sum of its proper divisors (203084106).

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

145816374 is a wasteful number, since it uses less digits than its factorization.

145816374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 145816374 is about 12075.4450849648. The cubic root of 145816374 is about 526.3428949665.

The spelling of 145816374 in words is "one hundred forty-five million, eight hundred sixteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 121 186 209 242 341 363 418 589 627 682 726 961 1023 1178 1254 1331 1767 1922 2046 2299 2662 2883 3534 3751 3993 4598 5766 6479 6897 7502 7986 10571 11253 12958 13794 18259 19437 21142 22506 25289 31713 36518 38874 41261 50578 54777 63426 71269 75867 82522 109554 116281 123783 142538 151734 200849 213807 232562 247566 348843 401698 427614 602547 697686 783959 1205094 1279091 1567918 2209339 2351877 2558182 3837273 4418678 4703754 6628017 7674546 13256034 24302729 48605458 72908187 145816374