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145363374 = 232135910529
BaseRepresentation
bin10001010101000…
…01000110101110
3101010112020001200
420222201012232
5244203111444
622231350330
73413365632
oct1052410656
9333466050
10145363374
1175065722
12408223a6
1324167640
141543cdc2
15cb65969
hex8aa11ae

145363374 has 48 divisors (see below), whose sum is σ = 344962800. Its totient is φ = 43964928.

The previous prime is 145363333. The next prime is 145363391. The reversal of 145363374 is 473363541.

145363374 is a `hidden beast` number, since 14 + 5 + 3 + 633 + 7 + 4 = 666.

It is a super-2 number, since 2×1453633742 = 42261021001327752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8542 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2145363374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145363374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400).

145363374 is an abundant number, since it is smaller than the sum of its proper divisors (199599426).

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

145363374 is a wasteful number, since it uses less digits than its factorization.

145363374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10606 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 145363374 is about 12056.6734218025. The cubic root of 145363374 is about 525.7972757028.

The spelling of 145363374 in words is "one hundred forty-five million, three hundred sixty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 10529 13806 21058 31587 63174 94761 136877 189522 273754 410631 621211 821262 1231893 1242422 1863633 2463786 3727266 5590899 8075743 11181798 16151486 24227229 48454458 72681687 145363374