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148322304 = 2113213619
BaseRepresentation
bin10001101011100…
…11100000000000
3101100002112221200
420311303200000
5300432303204
622415021200
73450501354
oct1065634000
9340075850
10148322304
11767a6819
124180a800
13249623a0
14159ad464
15d04c539
hex8d73800

148322304 has 144 divisors (see below), whose sum is σ = 462079800. Its totient is φ = 45563904.

The previous prime is 148322287. The next prime is 148322311. The reversal of 148322304 is 403223841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 239307 + ... + 239925.

Almost surely, 2148322304 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 148322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231039900).

148322304 is an abundant number, since it is smaller than the sum of its proper divisors (313757496).

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

148322304 is a wasteful number, since it uses less digits than its factorization.

148322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 148322304 is about 12178.7644693540. The cubic root of 148322304 is about 529.3409441824.

The spelling of 148322304 in words is "one hundred forty-eight million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 619 624 768 832 936 1024 1152 1238 1248 1536 1664 1857 1872 2048 2304 2476 2496 3072 3328 3714 3744 4608 4952 4992 5571 6144 6656 7428 7488 8047 9216 9904 9984 11142 13312 14856 14976 16094 18432 19808 19968 22284 24141 26624 29712 29952 32188 39616 39936 44568 48282 59424 59904 64376 72423 79232 79872 89136 96564 118848 119808 128752 144846 158464 178272 193128 237696 239616 257504 289692 316928 356544 386256 475392 515008 579384 633856 713088 772512 950784 1030016 1158768 1267712 1426176 1545024 1901568 2060032 2317536 2852352 3090048 3803136 4120064 4635072 5704704 6180096 8240128 9270144 11409408 12360192 16480256 18540288 24720384 37080576 49440768 74161152 148322304