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1345457040 = 243531193937
BaseRepresentation
bin101000000110010…
…0000101110010000
310110202201022002020
41100030200232100
510223414111130
6341301451440
745225124164
oct12014405620
93422638066
101345457040
11630525874
12316710b80
13185992635
14ca994ca4
157d1bde10
hex50320b90

1345457040 has 160 divisors (see below), whose sum is σ = 4332389376. Its totient is φ = 345047040.

The previous prime is 1345457039. The next prime is 1345457041. The reversal of 1345457040 is 407545431.

It is an interprime number because it is at equal distance from previous prime (1345457039) and next prime (1345457041).

It is a junction number, because it is equal to n+sod(n) for n = 1345456992 and 1345457010.

It is not an unprimeable number, because it can be changed into a prime (1345457041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435452 + ... + 1436388.

Almost surely, 21345457040 is an apocalyptic number.

1345457040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166194688).

1345457040 is an abundant number, since it is smaller than the sum of its proper divisors (2986932336).

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

1345457040 is a wasteful number, since it uses less digits than its factorization.

1345457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 1345457040 is about 36680.4721888909. The cubic root of 1345457040 is about 1103.9683224475.

The spelling of 1345457040 in words is "one billion, three hundred forty-five million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 193 240 248 310 372 386 465 496 579 620 744 772 930 937 965 1158 1240 1488 1544 1860 1874 1930 2316 2480 2811 2895 3088 3720 3748 3860 4632 4685 5622 5790 5983 7440 7496 7720 9264 9370 11244 11580 11966 14055 14992 15440 17949 18740 22488 23160 23932 28110 29047 29915 35898 37480 44976 46320 47864 56220 58094 59830 71796 74960 87141 89745 95728 112440 116188 119660 143592 145235 174282 179490 180841 224880 232376 239320 287184 290470 348564 358980 361682 435705 464752 478640 542523 580940 697128 717960 723364 871410 904205 1085046 1161880 1394256 1435920 1446728 1742820 1808410 2170092 2323760 2712615 2893456 3485640 3616820 4340184 5425230 5606071 6971280 7233640 8680368 10850460 11212142 14467280 16818213 21700920 22424284 28030355 33636426 43401840 44848568 56060710 67272852 84091065 89697136 112121420 134545704 168182130 224242840 269091408 336364260 448485680 672728520 1345457040