Search a number
-
+
149065344 = 2732831559
BaseRepresentation
bin10001110001010…
…00111010000000
3101101111022012200
420320220322000
5301130042334
622442553200
73460014561
oct1070507200
9341438180
10149065344
1177163aaa
1241b08800
1324b6265c
1415b24168
15d147799
hex8e28e80

149065344 has 96 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 49058304.

The previous prime is 149065321. The next prime is 149065351. The reversal of 149065344 is 443560941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149065299 and 149065308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94837 + ... + 96395.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2149065344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

149065344 is an abundant number, since it is smaller than the sum of its proper divisors (285332256).

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

149065344 is a wasteful number, since it uses less digits than its factorization.

149065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 149065344 is about 12209.2319168734. The cubic root of 149065344 is about 530.2234064688.

The spelling of 149065344 in words is "one hundred forty-nine million, sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1559 1992 2656 2988 3118 3984 4677 5312 5976 6236 7968 9354 10624 11952 12472 14031 15936 18708 23904 24944 28062 31872 37416 47808 49888 56124 74832 95616 99776 112248 129397 149664 199552 224496 258794 299328 388191 448992 517588 598656 776382 897984 1035176 1164573 1552764 1795968 2070352 2329146 3105528 4140704 4658292 6211056 8281408 9316584 12422112 16562816 18633168 24844224 37266336 49688448 74532672 149065344