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148343904 = 25321741739
BaseRepresentation
bin10001101011110…
…00110001100000
3101100010122120200
420311320301200
5300434001104
622415305200
73450621342
oct1065706140
9340118520
10148343904
1176810a75
124181b200
132496c177
14159b7292
15d053b39
hex8d78c60

148343904 has 144 divisors (see below), whose sum is σ = 458181360. Its totient is φ = 45342720.

The previous prime is 148343831. The next prime is 148343911. The reversal of 148343904 is 409343841.

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

It is a super-2 number, since 2×1483439042 = 44011827707922432, which contains 22 as substring.

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

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, 200367 + ... + 201105.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 2148343904 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 148343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229090680).

148343904 is an abundant number, since it is smaller than the sum of its proper divisors (309837456).

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

148343904 is a wasteful number, since it uses less digits than its factorization.

148343904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 148343904 is about 12179.6512265335. The cubic root of 148343904 is about 529.3666386983.

The spelling of 148343904 in words is "one hundred forty-eight million, three hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 68 72 82 96 102 123 136 144 153 164 204 246 272 288 306 328 369 408 492 544 612 656 697 738 739 816 984 1224 1312 1394 1476 1478 1632 1968 2091 2217 2448 2788 2952 2956 3936 4182 4434 4896 5576 5904 5912 6273 6651 8364 8868 11152 11808 11824 12546 12563 13302 16728 17736 22304 23648 25092 25126 26604 30299 33456 35472 37689 50184 50252 53208 60598 66912 70944 75378 90897 100368 100504 106416 113067 121196 150756 181794 200736 201008 212832 226134 242392 272691 301512 363588 402016 452268 484784 515083 545382 603024 727176 904536 969568 1030166 1090764 1206048 1454352 1545249 1809072 2060332 2181528 2908704 3090498 3618144 4120664 4363056 4635747 6180996 8241328 8726112 9271494 12361992 16482656 18542988 24723984 37085976 49447968 74171952 148343904