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3726607340 = 225316419377
BaseRepresentation
bin1101111000011111…
…1000001111101100
3100121201021021020002
43132013320033230
530113002413330
61413442043432
7161230432301
oct33607701754
910551237202
103726607340
111642633285
12880049578
134750ab601
14274d090a8
1516c26ee45
hexde1f83ec

3726607340 has 48 divisors (see below), whose sum is σ = 8091788544. Its totient is φ = 1440153600.

The previous prime is 3726607333. The next prime is 3726607373. The reversal of 3726607340 is 437066273.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3726607294 and 3726607303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392732 + ... + 402108.

It is an arithmetic number, because the mean of its divisors is an integer number (168578928).

Almost surely, 23726607340 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 3726607340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045894272).

3726607340 is an abundant number, since it is smaller than the sum of its proper divisors (4365181204).

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

3726607340 is a wasteful number, since it uses less digits than its factorization.

3726607340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 38.

The square root of 3726607340 is about 61045.9445008430. The cubic root of 3726607340 is about 1550.3790040930.

The spelling of 3726607340 in words is "three billion, seven hundred twenty-six million, six hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 641 1282 2564 3205 6410 9377 12820 18754 19871 37508 39742 46885 79484 93770 99355 187540 198710 290687 397420 581374 1162748 1453435 2906870 5813740 6010657 12021314 24042628 30053285 60106570 120213140 186330367 372660734 745321468 931651835 1863303670 3726607340