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3468030840 = 2332543224033
BaseRepresentation
bin1100111010110101…
…1111001101111000
322221200201012221200
43032231133031320
524100303441330
61332043534200
7151640530041
oct31655371570
98850635850
103468030840
11151a68199a
1280952a360
13433655271
1424c8398c8
151546e4a60
hexceb5f378

3468030840 has 96 divisors (see below), whose sum is σ = 11533270320. Its totient is φ = 903297024.

The previous prime is 3468030823. The next prime is 3468030847. The reversal of 3468030840 is 480308643.

3468030840 is a `hidden beast` number, since 346 + 8 + 0 + 308 + 4 + 0 = 666.

It is a super-2 number, since 2×34680308402 = 24054475814382211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3468030795 and 3468030804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468030847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96537 + ... + 127496.

Almost surely, 23468030840 is an apocalyptic number.

3468030840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3468030840 is an abundant number, since it is smaller than the sum of its proper divisors (8065239480).

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

3468030840 is a wasteful number, since it uses less digits than its factorization.

3468030840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224093 (or 224086 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3468030840 is about 58889.9893020877. The cubic root of 3468030840 is about 1513.6576156074.

The spelling of 3468030840 in words is "three billion, four hundred sixty-eight million, thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 224033 448066 672099 896132 1120165 1344198 1792264 2016297 2240330 2688396 3360495 4032594 4480660 5376792 6720990 8065188 8961320 9633419 10081485 13441980 16130376 19266838 20162970 26883960 28900257 38533676 40325940 48167095 57800514 77067352 80651880 86700771 96334190 115601028 144501285 173401542 192668380 231202056 289002570 346803084 385336760 433503855 578005140 693606168 867007710 1156010280 1734015420 3468030840