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3740414004 = 2233731373463
BaseRepresentation
bin1101111011110010…
…0011000000110100
3100122200020201102000
43132330203000310
530130021222004
61415054015300
7161455665045
oct33674430064
910580221360
103740414004
11164a403448
128847a7530
13477c03a32
14276aa08cc
1516d59ac39
hexdef23034

3740414004 has 96 divisors (see below), whose sum is σ = 9904823040. Its totient is φ = 1220396544.

The previous prime is 3740413991. The next prime is 3740414021. The reversal of 3740414004 is 4004140473.

3740414004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078377 + ... + 1081839.

It is an arithmetic number, because the mean of its divisors is an integer number (103175240).

Almost surely, 23740414004 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 3740414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952411520).

3740414004 is an abundant number, since it is smaller than the sum of its proper divisors (6164409036).

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

3740414004 is a wasteful number, since it uses less digits than its factorization.

3740414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3740414004 is about 61158.9241566593. The cubic root of 3740414004 is about 1552.2913047672.

Adding to 3740414004 its reverse (4004140473), we get a palindrome (7744554477).

The spelling of 3740414004 in words is "three billion, seven hundred forty million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 1971 2466 2628 3463 3699 3942 4932 6926 7398 7884 10001 10389 13852 14796 20002 20778 30003 31167 40004 41556 60006 62334 90009 93501 120012 124668 180018 187002 252799 270027 360036 374004 474431 505598 540054 758397 948862 1011196 1080108 1423293 1516794 1897724 2275191 2846586 3033588 4269879 4550382 5693172 6825573 8539758 9100764 12809637 13651146 17079516 25619274 27302292 34633463 51238548 69266926 103900389 138533852 207800778 311701167 415601556 623402334 935103501 1246804668 1870207002 3740414004