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40348980 = 223257311033
BaseRepresentation
bin1001100111101…
…0110100110100
32210220221101200
42121322310310
540312131410
64000452500
7666650340
oct231726464
983827350
1040348980
1120859871
121161a130
138489649
145504620
1538203c0
hex267ad34

40348980 has 144 divisors (see below), whose sum is σ = 144528384. Its totient is φ = 8916480.

The previous prime is 40348967. The next prime is 40348991. The reversal of 40348980 is 8984304.

It is a super-4 number, since 4×403489804 (a number of 32 digits) contains 4444 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 47 ways as a sum of consecutive naturals, for example, 38544 + ... + 39576.

Almost surely, 240348980 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 40348980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72264192).

40348980 is an abundant number, since it is smaller than the sum of its proper divisors (104179404).

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

40348980 is a wasteful number, since it uses less digits than its factorization.

40348980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40348980 is about 6352.0846971683. The cubic root of 40348980 is about 342.9868898819.

It can be divided in two parts, 40348 and 980, that added together give a triangular number (41328 = T287).

The spelling of 40348980 in words is "forty million, three hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1033 1085 1116 1260 1302 1395 1860 1953 2066 2170 2604 2790 3099 3255 3906 4132 4340 5165 5580 6198 6510 7231 7812 9297 9765 10330 12396 13020 14462 15495 18594 19530 20660 21693 28924 30990 32023 36155 37188 39060 43386 46485 61980 64046 65079 72310 86772 92970 96069 108465 128092 130158 144620 160115 185940 192138 216930 224161 260316 288207 320230 325395 384276 433860 448322 480345 576414 640460 650790 672483 896644 960690 1120805 1152828 1301580 1344966 1441035 1921380 2017449 2241610 2689932 2882070 3362415 4034898 4483220 5764140 6724830 8069796 10087245 13449660 20174490 40348980