Search a number
-
+
78174340 = 22537149709
BaseRepresentation
bin1001010100011…
…01100010000100
312110002200000221
410222031202010
5130003034330
611431314124
71636320346
oct452154204
9173080027
1078174340
11401445a2
122221b944
131327140a
14a54d296
156ce2b7a
hex4a8d884

78174340 has 48 divisors (see below), whose sum is σ = 169974000. Its totient is φ = 30177792.

The previous prime is 78174323. The next prime is 78174373. The reversal of 78174340 is 4347187.

78174340 = T37 + T38 + ... + T776.

It can be written as a sum of positive squares in 8 ways, for example, as 5447556 + 72726784 = 2334^2 + 8528^2 .

It is a super-2 number, since 2×781743402 = 12222454868871200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78174296 and 78174305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109906 + ... + 110614.

It is an arithmetic number, because the mean of its divisors is an integer number (3541125).

Almost surely, 278174340 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 78174340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84987000).

78174340 is an abundant number, since it is smaller than the sum of its proper divisors (91799660).

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

78174340 is a wasteful number, since it uses less digits than its factorization.

78174340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 78174340 is about 8841.6254161777. The cubic root of 78174340 is about 427.5839626244.

The spelling of 78174340 in words is "seventy-eight million, one hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 709 740 745 1418 1490 2836 2980 3545 5513 7090 11026 14180 22052 26233 27565 52466 55130 104932 105641 110260 131165 211282 262330 422564 524660 528205 1056410 2112820 3908717 7817434 15634868 19543585 39087170 78174340