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3345452040 = 233576759443
BaseRepresentation
bin1100011101100111…
…1000110000001000
322122011001120110010
43013121320300020
523322413431130
61311544351520
7145621605330
oct30731706010
98564046403
103345452040
1114674696a7
127944755a0
13414137628
1423a44c0c0
15148a800b0
hexc7678c08

3345452040 has 128 divisors (see below), whose sum is σ = 11641512960. Its totient is φ = 753249024.

The previous prime is 3345452027. The next prime is 3345452041. The reversal of 3345452040 is 402545433.

It is a super-2 number, since 2×33454520402 = 22384098703880323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3345451989 and 3345452007.

It is not an unprimeable number, because it can be changed into a prime (3345452041) 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, 26559 + ... + 86001.

It is an arithmetic number, because the mean of its divisors is an integer number (90949320).

Almost surely, 23345452040 is an apocalyptic number.

3345452040 is a gapful number since it is divisible by the number (30) 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 3345452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820756480).

3345452040 is an abundant number, since it is smaller than the sum of its proper divisors (8296060920).

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

3345452040 is a wasteful number, since it uses less digits than its factorization.

3345452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59531 (or 59527 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3345452040 is about 57839.8827799642. The cubic root of 3345452040 is about 1495.6096870828.

Adding to 3345452040 its reverse (402545433), we get a palindrome (3747997473).

The spelling of 3345452040 in words is "three billion, three hundred forty-five million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 59443 118886 178329 237772 297215 356658 416101 475544 594430 713316 832202 891645 1188860 1248303 1426632 1664404 1783290 2080505 2377720 2496606 3328808 3566580 3982681 4161010 4993212 6241515 7133160 7965362 8322020 9986424 11948043 12483030 15930724 16644040 19913405 23896086 24966060 27878767 31861448 39826810 47792172 49932120 55757534 59740215 79653620 83636301 95584344 111515068 119480430 139393835 159307240 167272602 223030136 238960860 278787670 334545204 418181505 477921720 557575340 669090408 836363010 1115150680 1672726020 3345452040