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7434037741 = 132293534297
BaseRepresentation
bin1101110110001101…
…00110100111101101
3201012002110020122011
412323012212213231
5110211103201431
63225401121221
7352136164264
oct67306464755
921162406564
107434037741
113175358649
121535789211
13916204300
145074615db
152d79a2cb1
hex1bb1a69ed

7434037741 has 24 divisors (see below), whose sum is σ = 8352991080. Its totient is φ = 6605254656.

The previous prime is 7434037733. The next prime is 7434037753. The reversal of 7434037741 is 1477304347.

It can be written as a sum of positive squares in 12 ways, for example, as 3828515625 + 3605522116 = 61875^2 + 60046^2 .

It is not a de Polignac number, because 7434037741 - 23 = 7434037733 is a prime.

It is a super-2 number, since 2×74340377412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7434037694 and 7434037703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7434037771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727905 + ... + 1732201.

It is an arithmetic number, because the mean of its divisors is an integer number (348041295).

Almost surely, 27434037741 is an apocalyptic number.

It is an amenable number.

7434037741 is a deficient number, since it is larger than the sum of its proper divisors (918953339).

7434037741 is a wasteful number, since it uses less digits than its factorization.

7434037741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The square root of 7434037741 is about 86220.8660418115. The cubic root of 7434037741 is about 1951.6783920073.

The spelling of 7434037741 in words is "seven billion, four hundred thirty-four million, thirty-seven thousand, seven hundred forty-one".

Divisors: 1 13 29 169 353 377 4297 4589 4901 10237 55861 59657 124613 133081 726193 1516841 1619969 1730053 19718933 21059597 43988389 256346129 571849057 7434037741