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3146448438 = 2327232921291
BaseRepresentation
bin1011101110001010…
…1111111000110110
322010021121010211100
42323202233320312
522420442322223
61240115150530
7140654241030
oct27342577066
98107533740
103146448438
1113750a7311
127398a5446
133b1b3ba13
1421bc48c50
15136371043
hexbb8afe36

3146448438 has 144 divisors (see below), whose sum is σ = 8426486016. Its totient is φ = 829604160.

The previous prime is 3146448427. The next prime is 3146448479. The reversal of 3146448438 is 8348446413.

It is a junction number, because it is equal to n+sod(n) for n = 3146448393 and 3146448402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2436573 + ... + 2437863.

It is an arithmetic number, because the mean of its divisors is an integer number (58517264).

Almost surely, 23146448438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146448438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213243008).

3146448438 is an abundant number, since it is smaller than the sum of its proper divisors (5280037578).

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

3146448438 is a wasteful number, since it uses less digits than its factorization.

3146448438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1355 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 3146448438 is about 56093.2120492311. The cubic root of 3146448438 is about 1465.3460784351.

It can be divided in two parts, 3146 and 448438, that added together give a square (451584 = 6722).

The spelling of 3146448438 in words is "three billion, one hundred forty-six million, four hundred forty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 138 161 174 203 207 261 322 406 414 483 522 609 667 841 966 1218 1291 1334 1449 1682 1827 2001 2523 2582 2898 3654 3873 4002 4669 5046 5887 6003 7569 7746 9037 9338 11619 11774 12006 14007 15138 17661 18074 19343 23238 27111 28014 29693 35322 37439 38686 42021 52983 54222 58029 59386 74878 81333 84042 89079 105966 112317 116058 135401 162666 174087 178158 207851 224634 262073 267237 270802 336951 348174 406203 415702 524146 534474 623553 673902 786219 812406 861097 1085731 1218609 1247106 1572438 1722194 1870659 2171462 2358657 2437218 2583291 3257193 3741318 4717314 5166582 6027679 6514386 7600117 7749873 9771579 12055358 15200234 15499746 18083037 19543158 22800351 24971813 36166074 45600702 49943626 54249111 68401053 74915439 108498222 136802106 149830878 174802691 224746317 349605382 449492634 524408073 1048816146 1573224219 3146448438