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3129440958 = 232726752957
BaseRepresentation
bin1011101010000111…
…0111101010111110
322002002121001221200
42322201313222332
522402114102313
61234310440330
7140356544400
oct27241675276
98062531850
103129440958
111366540346
127340630a6
133ab465717
1421989cb70
15134b11b73
hexba877abe

3129440958 has 72 divisors (see below), whose sum is σ = 8005343112. Its totient is φ = 880764192.

The previous prime is 3129440893. The next prime is 3129441001. The reversal of 3129440958 is 8590449213.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32616 + ... + 85572.

It is an arithmetic number, because the mean of its divisors is an integer number (111185321).

Almost surely, 23129440958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129440958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002671556).

3129440958 is an abundant number, since it is smaller than the sum of its proper divisors (4875902154).

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

3129440958 is a wasteful number, since it uses less digits than its factorization.

3129440958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53046 (or 53036 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3129440958 is about 55941.4064714144. The cubic root of 3129440958 is about 1462.7010980977.

The spelling of 3129440958 in words is "three billion, one hundred twenty-nine million, four hundred forty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 603 882 938 1206 1407 2814 3283 4221 6566 8442 9849 19698 29547 52957 59094 105914 158871 317742 370699 476613 741398 953226 1112097 2224194 2594893 3336291 3548119 5189786 6672582 7096238 7784679 10644357 15569358 21288714 23354037 24836833 31933071 46708074 49673666 63866142 74510499 149020998 173857831 223531497 347715662 447062994 521573493 1043146986 1564720479 3129440958