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3423402240 = 28351098179
BaseRepresentation
bin1100110000001100…
…1111100100000000
322211120201212000120
43030003033210000
524002342332430
61323411220240
7150556303356
oct31403174400
98746655016
103423402240
1114a746a855
127b65a7680
1342732a9cb
1424693d7d6
1515082b610
hexcc0cf900

3423402240 has 144 divisors (see below), whose sum is σ = 11035147200. Its totient is φ = 904421376.

The previous prime is 3423402239. The next prime is 3423402247. The reversal of 3423402240 is 422043243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3423402240.

It is not an unprimeable number, because it can be changed into a prime (3423402247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414471 + ... + 422649.

Almost surely, 23423402240 is an apocalyptic number.

3423402240 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 3423402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517573600).

3423402240 is an abundant number, since it is smaller than the sum of its proper divisors (7611744960).

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

3423402240 is a wasteful number, since it uses less digits than its factorization.

3423402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3423402240 is about 58509.8473763178. The cubic root of 3423402240 is about 1507.1366934432.

Adding to 3423402240 its reverse (422043243), we get a palindrome (3845445483).

The spelling of 3423402240 in words is "three billion, four hundred twenty-three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 256 320 327 384 436 480 545 640 654 768 872 960 1090 1280 1308 1635 1744 1920 2180 2616 3270 3488 3840 4360 5232 6540 6976 8179 8720 10464 13080 13952 16358 17440 20928 24537 26160 27904 32716 34880 40895 41856 49074 52320 65432 69760 81790 83712 98148 104640 122685 130864 139520 163580 196296 209280 245370 261728 327160 392592 418560 490740 523456 654320 785184 891511 981480 1046912 1308640 1570368 1783022 1962960 2093824 2617280 2674533 3140736 3566044 3925920 4457555 5234560 5349066 6281472 7132088 7851840 8915110 10469120 10698132 13372665 14264176 15703680 17830220 21396264 26745330 28528352 31407360 35660440 42792528 53490660 57056704 71320880 85585056 106981320 114113408 142641760 171170112 213962640 228226816 285283520 342340224 427925280 570567040 684680448 855850560 1141134080 1711701120 3423402240