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3315068952 = 2331317718803
BaseRepresentation
bin1100010110010111…
…1111000000011000
322120000212221200120
43011211333000120
523242124201302
61304541233240
7145102423026
oct30545770030
98500787616
103315068952
1114512a7408
12786262820
1340aa5a180
142363bd716
1514607c9bc
hexc597f018

3315068952 has 128 divisors (see below), whose sum is σ = 9584386560. Its totient is φ = 946391040.

The previous prime is 3315068903. The next prime is 3315069007. The reversal of 3315068952 is 2598605133.

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, 372183 + ... + 380985.

It is an arithmetic number, because the mean of its divisors is an integer number (74878020).

Almost surely, 23315068952 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 3315068952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792193280).

3315068952 is an abundant number, since it is smaller than the sum of its proper divisors (6269317608).

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

3315068952 is a wasteful number, since it uses less digits than its factorization.

3315068952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 3315068952 is about 57576.6354696069. The cubic root of 3315068952 is about 1491.0682476505.

It can be divided in two parts, 33 and 15068952, that multiplied together give a triangular number (497275416 = T31536).

The spelling of 3315068952 in words is "three billion, three hundred fifteen million, sixty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 71 78 102 104 136 142 156 204 213 221 284 312 408 426 442 568 663 852 884 923 1207 1326 1704 1768 1846 2414 2652 2769 3621 3692 4828 5304 5538 7242 7384 8803 9656 11076 14484 15691 17606 22152 26409 28968 31382 35212 47073 52818 62764 70424 94146 105636 114439 125528 149651 188292 211272 228878 299302 343317 376584 448953 457756 598604 625013 686634 897906 915512 1197208 1250026 1373268 1795812 1875039 1945463 2500052 2746536 3591624 3750078 3890926 5000104 5836389 7500156 7781852 8125169 10625221 11672778 15000312 15563704 16250338 21250442 23345556 24375507 31875663 32500676 42500884 46691112 48751014 63751326 65001352 85001768 97502028 127502652 138127873 195004056 255005304 276255746 414383619 552511492 828767238 1105022984 1657534476 3315068952