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34233030411240 = 23351631750154929
BaseRepresentation
bin1111100100010011111111…
…00111100000001111101000
311111012122102202012220000010
413302021333213200033220
513441333221241124430
6200450234223411520
710132153256251353
oct762117747401750
9144178382186003
1034233030411240
11a9a9168239751
123a0a710753ba0
1316142126c068b
14864c5d49729a
153e572ddd1cb0
hex1f227f9e03e8

34233030411240 has 64 divisors (see below), whose sum is σ = 103329147067200. Its totient is φ = 9072803146752.

The previous prime is 34233030411221. The next prime is 34233030411257. The reversal of 34233030411240 is 4211403033243.

It is a happy number.

It is a super-2 number, since 2×342330304112402 (a number of 28 digits) 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 = 34233030411198 and 34233030411207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875057905 + ... + 875097024.

It is an arithmetic number, because the mean of its divisors is an integer number (1614517922925).

Almost surely, 234233030411240 is an apocalyptic number.

34233030411240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34233030411240 is an abundant number, since it is smaller than the sum of its proper divisors (69096116655960).

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

34233030411240 is a wasteful number, since it uses less digits than its factorization.

34233030411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750155106 (or 1750155102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34233030411240 its reverse (4211403033243), we get a palindrome (38444433444483).

The spelling of 34233030411240 in words is "thirty-four trillion, two hundred thirty-three billion, thirty million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 1750154929 3500309858 5250464787 7000619716 8750774645 10500929574 14001239432 17501549290 21001859148 26252323935 35003098580 42003718296 52504647870 70006197160 105009295740 210018591480 285275253427 570550506854 855825760281 1141101013708 1426376267135 1711651520562 2282202027416 2852752534270 3423303041124 4279128801405 5705505068540 6846606082248 8558257602810 11411010137080 17116515205620 34233030411240